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Finding the Fourth Proportional to 482.73, 724.14 and 136.07

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Solution

The fourth proportional to 482.73, 724.14 and 136.07 is: 204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.73 : 724.14 = 136.07 : x
  2. Step 2: Convert to fraction form
    482.73/724.14 = 136.07/x
  3. Step 3: Cross multiply
    482.73x = 724.14 × 136.07
  4. Step 4: Simplify right side
    482.73x = 98,530.11
  5. Step 5: Solve for x
    x = 98,530.11/482.73
  6. Step 6: Final answer
    x = 204.11

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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.