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Finding the Fourth Proportional to 253.12, 379.20 and 161.76

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Solution

The fourth proportional to 253.12, 379.20 and 161.76 is: 242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 379.20 = 161.76 : x
  2. Step 2: Convert to fraction form
    253.12/379.20 = 161.76/x
  3. Step 3: Cross multiply
    253.12x = 379.20 × 161.76
  4. Step 4: Simplify right side
    253.12x = 61,339.39
  5. Step 5: Solve for x
    x = 61,339.39/253.12
  6. Step 6: Final answer
    x = 242.33

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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.