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Finding the Fourth Proportional to 727.01, 1,090.51 and 179.18

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Solution

The fourth proportional to 727.01, 1,090.51 and 179.18 is: 268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.01 : 1,090.51 = 179.18 : x
  2. Step 2: Convert to fraction form
    727.01/1,090.51 = 179.18/x
  3. Step 3: Cross multiply
    727.01x = 1,090.51 × 179.18
  4. Step 4: Simplify right side
    727.01x = 195,397.58
  5. Step 5: Solve for x
    x = 195,397.58/727.01
  6. Step 6: Final answer
    x = 268.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.