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Finding the Fourth Proportional to 314.46, 471.80 and 141.17

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Solution

The fourth proportional to 314.46, 471.80 and 141.17 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 471.80 = 141.17 : x
  2. Step 2: Convert to fraction form
    314.46/471.80 = 141.17/x
  3. Step 3: Cross multiply
    314.46x = 471.80 × 141.17
  4. Step 4: Simplify right side
    314.46x = 66,602.93
  5. Step 5: Solve for x
    x = 66,602.93/314.46
  6. Step 6: Final answer
    x = 211.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.