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Finding the Fourth Proportional to 330.10, 495.06 and 167.86

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Solution

The fourth proportional to 330.10, 495.06 and 167.86 is: 251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.10 : 495.06 = 167.86 : x
  2. Step 2: Convert to fraction form
    330.10/495.06 = 167.86/x
  3. Step 3: Cross multiply
    330.10x = 495.06 × 167.86
  4. Step 4: Simplify right side
    330.10x = 83,100.77
  5. Step 5: Solve for x
    x = 83,100.77/330.10
  6. Step 6: Final answer
    x = 251.74

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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.