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Finding the Fourth Proportional to 330.30, 494.94 and 147.66

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Solution

The fourth proportional to 330.30, 494.94 and 147.66 is: 221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.30 : 494.94 = 147.66 : x
  2. Step 2: Convert to fraction form
    330.30/494.94 = 147.66/x
  3. Step 3: Cross multiply
    330.30x = 494.94 × 147.66
  4. Step 4: Simplify right side
    330.30x = 73,082.84
  5. Step 5: Solve for x
    x = 73,082.84/330.30
  6. Step 6: Final answer
    x = 221.26

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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.