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Finding the Fourth Proportional to 362.50, 500.16 and 215.14

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Solution

The fourth proportional to 362.50, 500.16 and 215.14 is: 296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.50 : 500.16 = 215.14 : x
  2. Step 2: Convert to fraction form
    362.50/500.16 = 215.14/x
  3. Step 3: Cross multiply
    362.50x = 500.16 × 215.14
  4. Step 4: Simplify right side
    362.50x = 107,604.42
  5. Step 5: Solve for x
    x = 107,604.42/362.50
  6. Step 6: Final answer
    x = 296.84

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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.