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Finding the Fourth Proportional to 247.79, 341.96 and 160.46

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Solution

The fourth proportional to 247.79, 341.96 and 160.46 is: 221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.79 : 341.96 = 160.46 : x
  2. Step 2: Convert to fraction form
    247.79/341.96 = 160.46/x
  3. Step 3: Cross multiply
    247.79x = 341.96 × 160.46
  4. Step 4: Simplify right side
    247.79x = 54,869.67
  5. Step 5: Solve for x
    x = 54,869.67/247.79
  6. Step 6: Final answer
    x = 221.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.