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Finding the Fourth Proportional to 540.10, 810.22 and 174.81

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Solution

The fourth proportional to 540.10, 810.22 and 174.81 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.10 : 810.22 = 174.81 : x
  2. Step 2: Convert to fraction form
    540.10/810.22 = 174.81/x
  3. Step 3: Cross multiply
    540.10x = 810.22 × 174.81
  4. Step 4: Simplify right side
    540.10x = 141,635.21
  5. Step 5: Solve for x
    x = 141,635.21/540.10
  6. Step 6: Final answer
    x = 262.24

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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.