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Finding the Fourth Proportional to 315.14, 472.84 and 170.96

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Solution

The fourth proportional to 315.14, 472.84 and 170.96 is: 256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 472.84 = 170.96 : x
  2. Step 2: Convert to fraction form
    315.14/472.84 = 170.96/x
  3. Step 3: Cross multiply
    315.14x = 472.84 × 170.96
  4. Step 4: Simplify right side
    315.14x = 80,836.73
  5. Step 5: Solve for x
    x = 80,836.73/315.14
  6. Step 6: Final answer
    x = 256.51

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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.