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Finding the Fourth Proportional to 180.04, 268.13 and 175.18

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Solution

The fourth proportional to 180.04, 268.13 and 175.18 is: 260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 268.13 = 175.18 : x
  2. Step 2: Convert to fraction form
    180.04/268.13 = 175.18/x
  3. Step 3: Cross multiply
    180.04x = 268.13 × 175.18
  4. Step 4: Simplify right side
    180.04x = 46,971.01
  5. Step 5: Solve for x
    x = 46,971.01/180.04
  6. Step 6: Final answer
    x = 260.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.