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Finding the Fourth Proportional to 362.40, 500.16 and 207.14

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Solution

The fourth proportional to 362.40, 500.16 and 207.14 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 500.16 = 207.14 : x
  2. Step 2: Convert to fraction form
    362.40/500.16 = 207.14/x
  3. Step 3: Cross multiply
    362.40x = 500.16 × 207.14
  4. Step 4: Simplify right side
    362.40x = 103,603.14
  5. Step 5: Solve for x
    x = 103,603.14/362.40
  6. Step 6: Final answer
    x = 285.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.