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Finding the Fourth Proportional to 223.60, 334.95 and 132.02

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Solution

The fourth proportional to 223.60, 334.95 and 132.02 is: 197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.60 : 334.95 = 132.02 : x
  2. Step 2: Convert to fraction form
    223.60/334.95 = 132.02/x
  3. Step 3: Cross multiply
    223.60x = 334.95 × 132.02
  4. Step 4: Simplify right side
    223.60x = 44,220.10
  5. Step 5: Solve for x
    x = 44,220.10/223.60
  6. Step 6: Final answer
    x = 197.76

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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.