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Finding the Fourth Proportional to 314.92, 472.20 and 224.20

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Solution

The fourth proportional to 314.92, 472.20 and 224.20 is: 336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.92 : 472.20 = 224.20 : x
  2. Step 2: Convert to fraction form
    314.92/472.20 = 224.20/x
  3. Step 3: Cross multiply
    314.92x = 472.20 × 224.20
  4. Step 4: Simplify right side
    314.92x = 105,867.24
  5. Step 5: Solve for x
    x = 105,867.24/314.92
  6. Step 6: Final answer
    x = 336.17

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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.