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Finding the Fourth Proportional to 422.19, 633.53 and 165.87

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Solution

The fourth proportional to 422.19, 633.53 and 165.87 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.19 : 633.53 = 165.87 : x
  2. Step 2: Convert to fraction form
    422.19/633.53 = 165.87/x
  3. Step 3: Cross multiply
    422.19x = 633.53 × 165.87
  4. Step 4: Simplify right side
    422.19x = 105,082.79
  5. Step 5: Solve for x
    x = 105,082.79/422.19
  6. Step 6: Final answer
    x = 248.90

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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.