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Finding the Fourth Proportional to 540.25, 809.97 and 174.82

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Solution

The fourth proportional to 540.25, 809.97 and 174.82 is: 262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.25 : 809.97 = 174.82 : x
  2. Step 2: Convert to fraction form
    540.25/809.97 = 174.82/x
  3. Step 3: Cross multiply
    540.25x = 809.97 × 174.82
  4. Step 4: Simplify right side
    540.25x = 141,598.96
  5. Step 5: Solve for x
    x = 141,598.96/540.25
  6. Step 6: Final answer
    x = 262.10

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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.