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Finding the Fourth Proportional to 360.14, 540.21 and 174.92

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Solution

The fourth proportional to 360.14, 540.21 and 174.92 is: 262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.14 : 540.21 = 174.92 : x
  2. Step 2: Convert to fraction form
    360.14/540.21 = 174.92/x
  3. Step 3: Cross multiply
    360.14x = 540.21 × 174.92
  4. Step 4: Simplify right side
    360.14x = 94,493.53
  5. Step 5: Solve for x
    x = 94,493.53/360.14
  6. Step 6: Final answer
    x = 262.38

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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.