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Finding the Fourth Proportional to 540.13, 810.23 and 155.41

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Solution

The fourth proportional to 540.13, 810.23 and 155.41 is: 233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.13 : 810.23 = 155.41 : x
  2. Step 2: Convert to fraction form
    540.13/810.23 = 155.41/x
  3. Step 3: Cross multiply
    540.13x = 810.23 × 155.41
  4. Step 4: Simplify right side
    540.13x = 125,917.84
  5. Step 5: Solve for x
    x = 125,917.84/540.13
  6. Step 6: Final answer
    x = 233.13

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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.