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Finding the Fourth Proportional to 314.43, 471.80 and 141.21

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Solution

The fourth proportional to 314.43, 471.80 and 141.21 is: 211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.43 : 471.80 = 141.21 : x
  2. Step 2: Convert to fraction form
    314.43/471.80 = 141.21/x
  3. Step 3: Cross multiply
    314.43x = 471.80 × 141.21
  4. Step 4: Simplify right side
    314.43x = 66,622.17
  5. Step 5: Solve for x
    x = 66,622.17/314.43
  6. Step 6: Final answer
    x = 211.89

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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.