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Finding the Fourth Proportional to 330.60, 495.92 and 114.24

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Solution

The fourth proportional to 330.60, 495.92 and 114.24 is: 171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.60 : 495.92 = 114.24 : x
  2. Step 2: Convert to fraction form
    330.60/495.92 = 114.24/x
  3. Step 3: Cross multiply
    330.60x = 495.92 × 114.24
  4. Step 4: Simplify right side
    330.60x = 56,653.90
  5. Step 5: Solve for x
    x = 56,653.90/330.60
  6. Step 6: Final answer
    x = 171.37

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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.