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Finding the Fourth Proportional to 540.20, 810.14 and 174.91

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Solution

The fourth proportional to 540.20, 810.14 and 174.91 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.20 : 810.14 = 174.91 : x
  2. Step 2: Convert to fraction form
    540.20/810.14 = 174.91/x
  3. Step 3: Cross multiply
    540.20x = 810.14 × 174.91
  4. Step 4: Simplify right side
    540.20x = 141,698.69
  5. Step 5: Solve for x
    x = 141,698.69/540.20
  6. Step 6: Final answer
    x = 262.31

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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.