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Finding the Fourth Proportional to 330.10, 495.25 and 113.74

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Solution

The fourth proportional to 330.10, 495.25 and 113.74 is: 170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.10 : 495.25 = 113.74 : x
  2. Step 2: Convert to fraction form
    330.10/495.25 = 113.74/x
  3. Step 3: Cross multiply
    330.10x = 495.25 × 113.74
  4. Step 4: Simplify right side
    330.10x = 56,328.21
  5. Step 5: Solve for x
    x = 56,328.21/330.10
  6. Step 6: Final answer
    x = 170.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.