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Finding the Fourth Proportional to 633.72, 950.56 and 165.18

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Solution

The fourth proportional to 633.72, 950.56 and 165.18 is: 247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.72 : 950.56 = 165.18 : x
  2. Step 2: Convert to fraction form
    633.72/950.56 = 165.18/x
  3. Step 3: Cross multiply
    633.72x = 950.56 × 165.18
  4. Step 4: Simplify right side
    633.72x = 157,013.50
  5. Step 5: Solve for x
    x = 157,013.50/633.72
  6. Step 6: Final answer
    x = 247.76

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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.