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Finding the Fourth Proportional to 330.13, 495.25 and 113.70

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Solution

The fourth proportional to 330.13, 495.25 and 113.70 is: 170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.13 : 495.25 = 113.70 : x
  2. Step 2: Convert to fraction form
    330.13/495.25 = 113.70/x
  3. Step 3: Cross multiply
    330.13x = 495.25 × 113.70
  4. Step 4: Simplify right side
    330.13x = 56,311.50
  5. Step 5: Solve for x
    x = 56,311.50/330.13
  6. Step 6: Final answer
    x = 170.58

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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.