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Finding the Fourth Proportional to 410.57, 615.93 and 136.66

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Solution

The fourth proportional to 410.57, 615.93 and 136.66 is: 205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.57 : 615.93 = 136.66 : x
  2. Step 2: Convert to fraction form
    410.57/615.93 = 136.66/x
  3. Step 3: Cross multiply
    410.57x = 615.93 × 136.66
  4. Step 4: Simplify right side
    410.57x = 84,174.21
  5. Step 5: Solve for x
    x = 84,174.21/410.57
  6. Step 6: Final answer
    x = 205.02

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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.