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Finding the Fourth Proportional to 314.54, 471.41 and 140.96

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Solution

The fourth proportional to 314.54, 471.41 and 140.96 is: 211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 471.41 = 140.96 : x
  2. Step 2: Convert to fraction form
    314.54/471.41 = 140.96/x
  3. Step 3: Cross multiply
    314.54x = 471.41 × 140.96
  4. Step 4: Simplify right side
    314.54x = 66,446.89
  5. Step 5: Solve for x
    x = 66,446.89/314.54
  6. Step 6: Final answer
    x = 211.25

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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.