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Finding the Fourth Proportional to 316.20, 474.21 and 142.77

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Solution

The fourth proportional to 316.20, 474.21 and 142.77 is: 214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.20 : 474.21 = 142.77 : x
  2. Step 2: Convert to fraction form
    316.20/474.21 = 142.77/x
  3. Step 3: Cross multiply
    316.20x = 474.21 × 142.77
  4. Step 4: Simplify right side
    316.20x = 67,702.96
  5. Step 5: Solve for x
    x = 67,702.96/316.20
  6. Step 6: Final answer
    x = 214.11

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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.