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Finding the Fourth Proportional to 252.72, 379.80 and 161.64

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Solution

The fourth proportional to 252.72, 379.80 and 161.64 is: 242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.72 : 379.80 = 161.64 : x
  2. Step 2: Convert to fraction form
    252.72/379.80 = 161.64/x
  3. Step 3: Cross multiply
    252.72x = 379.80 × 161.64
  4. Step 4: Simplify right side
    252.72x = 61,390.87
  5. Step 5: Solve for x
    x = 61,390.87/252.72
  6. Step 6: Final answer
    x = 242.92

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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.