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Finding the Fourth Proportional to 540.09, 810.14 and 155.25

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Solution

The fourth proportional to 540.09, 810.14 and 155.25 is: 232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.09 : 810.14 = 155.25 : x
  2. Step 2: Convert to fraction form
    540.09/810.14 = 155.25/x
  3. Step 3: Cross multiply
    540.09x = 810.14 × 155.25
  4. Step 4: Simplify right side
    540.09x = 125,773.46
  5. Step 5: Solve for x
    x = 125,773.46/540.09
  6. Step 6: Final answer
    x = 232.88

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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.