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Finding the Fourth Proportional to 314.76, 472.17 and 106.51

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Solution

The fourth proportional to 314.76, 472.17 and 106.51 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 472.17 = 106.51 : x
  2. Step 2: Convert to fraction form
    314.76/472.17 = 106.51/x
  3. Step 3: Cross multiply
    314.76x = 472.17 × 106.51
  4. Step 4: Simplify right side
    314.76x = 50,290.83
  5. Step 5: Solve for x
    x = 50,290.83/314.76
  6. Step 6: Final answer
    x = 159.78

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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.