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Finding the Fourth Proportional to 314.68, 471.96 and 83.57

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Solution

The fourth proportional to 314.68, 471.96 and 83.57 is: 125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.68 : 471.96 = 83.57 : x
  2. Step 2: Convert to fraction form
    314.68/471.96 = 83.57/x
  3. Step 3: Cross multiply
    314.68x = 471.96 × 83.57
  4. Step 4: Simplify right side
    314.68x = 39,441.91
  5. Step 5: Solve for x
    x = 39,441.91/314.68
  6. Step 6: Final answer
    x = 125.34

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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.