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Finding the Fourth Proportional to 360.14, 539.82 and 154.58

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Solution

The fourth proportional to 360.14, 539.82 and 154.58 is: 231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.14 : 539.82 = 154.58 : x
  2. Step 2: Convert to fraction form
    360.14/539.82 = 154.58/x
  3. Step 3: Cross multiply
    360.14x = 539.82 × 154.58
  4. Step 4: Simplify right side
    360.14x = 83,445.38
  5. Step 5: Solve for x
    x = 83,445.38/360.14
  6. Step 6: Final answer
    x = 231.70

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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.