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Finding the Fourth Proportional to 540.19, 810.29 and 155.44

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Solution

The fourth proportional to 540.19, 810.29 and 155.44 is: 233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.19 : 810.29 = 155.44 : x
  2. Step 2: Convert to fraction form
    540.19/810.29 = 155.44/x
  3. Step 3: Cross multiply
    540.19x = 810.29 × 155.44
  4. Step 4: Simplify right side
    540.19x = 125,951.48
  5. Step 5: Solve for x
    x = 125,951.48/540.19
  6. Step 6: Final answer
    x = 233.16

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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.