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Finding the Fourth Proportional to 243.70, 336.26 and 160.66

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Solution

The fourth proportional to 243.70, 336.26 and 160.66 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.70 : 336.26 = 160.66 : x
  2. Step 2: Convert to fraction form
    243.70/336.26 = 160.66/x
  3. Step 3: Cross multiply
    243.70x = 336.26 × 160.66
  4. Step 4: Simplify right side
    243.70x = 54,023.53
  5. Step 5: Solve for x
    x = 54,023.53/243.70
  6. Step 6: Final answer
    x = 221.68

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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.