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Finding the Fourth Proportional to 314.92, 472.40 and 152.56

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Solution

The fourth proportional to 314.92, 472.40 and 152.56 is: 228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.92 : 472.40 = 152.56 : x
  2. Step 2: Convert to fraction form
    314.92/472.40 = 152.56/x
  3. Step 3: Cross multiply
    314.92x = 472.40 × 152.56
  4. Step 4: Simplify right side
    314.92x = 72,069.34
  5. Step 5: Solve for x
    x = 72,069.34/314.92
  6. Step 6: Final answer
    x = 228.85

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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.