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Finding the Fourth Proportional to 460.02, 689.66 and 186.04

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Solution

The fourth proportional to 460.02, 689.66 and 186.04 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.02 : 689.66 = 186.04 : x
  2. Step 2: Convert to fraction form
    460.02/689.66 = 186.04/x
  3. Step 3: Cross multiply
    460.02x = 689.66 × 186.04
  4. Step 4: Simplify right side
    460.02x = 128,304.35
  5. Step 5: Solve for x
    x = 128,304.35/460.02
  6. Step 6: Final answer
    x = 278.91

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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.