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Finding the Fourth Proportional to 363.58, 545.42 and 158.16

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Solution

The fourth proportional to 363.58, 545.42 and 158.16 is: 237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.58 : 545.42 = 158.16 : x
  2. Step 2: Convert to fraction form
    363.58/545.42 = 158.16/x
  3. Step 3: Cross multiply
    363.58x = 545.42 × 158.16
  4. Step 4: Simplify right side
    363.58x = 86,263.63
  5. Step 5: Solve for x
    x = 86,263.63/363.58
  6. Step 6: Final answer
    x = 237.26

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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.