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Finding the Fourth Proportional to 221.46, 332.20 and 130.07

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Solution

The fourth proportional to 221.46, 332.20 and 130.07 is: 195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.46 : 332.20 = 130.07 : x
  2. Step 2: Convert to fraction form
    221.46/332.20 = 130.07/x
  3. Step 3: Cross multiply
    221.46x = 332.20 × 130.07
  4. Step 4: Simplify right side
    221.46x = 43,207.27
  5. Step 5: Solve for x
    x = 43,207.27/221.46
  6. Step 6: Final answer
    x = 195.10

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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.