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Finding the Fourth Proportional to 314.92, 472.65 and 152.73

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Solution

The fourth proportional to 314.92, 472.65 and 152.73 is: 229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.92 : 472.65 = 152.73 : x
  2. Step 2: Convert to fraction form
    314.92/472.65 = 152.73/x
  3. Step 3: Cross multiply
    314.92x = 472.65 × 152.73
  4. Step 4: Simplify right side
    314.92x = 72,187.83
  5. Step 5: Solve for x
    x = 72,187.83/314.92
  6. Step 6: Final answer
    x = 229.23

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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.