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Finding the Fourth Proportional to 494.12, 741.04 and 147.44

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Solution

The fourth proportional to 494.12, 741.04 and 147.44 is: 221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.12 : 741.04 = 147.44 : x
  2. Step 2: Convert to fraction form
    494.12/741.04 = 147.44/x
  3. Step 3: Cross multiply
    494.12x = 741.04 × 147.44
  4. Step 4: Simplify right side
    494.12x = 109,258.94
  5. Step 5: Solve for x
    x = 109,258.94/494.12
  6. Step 6: Final answer
    x = 221.12

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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.