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Finding the Fourth Proportional to 360.54, 540.90 and 155.16

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Solution

The fourth proportional to 360.54, 540.90 and 155.16 is: 232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.54 : 540.90 = 155.16 : x
  2. Step 2: Convert to fraction form
    360.54/540.90 = 155.16/x
  3. Step 3: Cross multiply
    360.54x = 540.90 × 155.16
  4. Step 4: Simplify right side
    360.54x = 83,926.04
  5. Step 5: Solve for x
    x = 83,926.04/360.54
  6. Step 6: Final answer
    x = 232.78

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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.