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Finding the Fourth Proportional to 439.75, 659.64 and 147.16

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Solution

The fourth proportional to 439.75, 659.64 and 147.16 is: 220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.75 : 659.64 = 147.16 : x
  2. Step 2: Convert to fraction form
    439.75/659.64 = 147.16/x
  3. Step 3: Cross multiply
    439.75x = 659.64 × 147.16
  4. Step 4: Simplify right side
    439.75x = 97,072.62
  5. Step 5: Solve for x
    x = 97,072.62/439.75
  6. Step 6: Final answer
    x = 220.75

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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.