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Finding the Fourth Proportional to 314.49, 471.72 and 106.27

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Solution

The fourth proportional to 314.49, 471.72 and 106.27 is: 159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.49 : 471.72 = 106.27 : x
  2. Step 2: Convert to fraction form
    314.49/471.72 = 106.27/x
  3. Step 3: Cross multiply
    314.49x = 471.72 × 106.27
  4. Step 4: Simplify right side
    314.49x = 50,129.68
  5. Step 5: Solve for x
    x = 50,129.68/314.49
  6. Step 6: Final answer
    x = 159.40

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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.