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Finding the Fourth Proportional to 540.13, 810.20 and 155.38

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Solution

The fourth proportional to 540.13, 810.20 and 155.38 is: 233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.13 : 810.20 = 155.38 : x
  2. Step 2: Convert to fraction form
    540.13/810.20 = 155.38/x
  3. Step 3: Cross multiply
    540.13x = 810.20 × 155.38
  4. Step 4: Simplify right side
    540.13x = 125,884.05
  5. Step 5: Solve for x
    x = 125,884.05/540.13
  6. Step 6: Final answer
    x = 233.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.