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Finding the Fourth Proportional to 243.48, 336.20 and 160.74

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Solution

The fourth proportional to 243.48, 336.20 and 160.74 is: 221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.48 : 336.20 = 160.74 : x
  2. Step 2: Convert to fraction form
    243.48/336.20 = 160.74/x
  3. Step 3: Cross multiply
    243.48x = 336.20 × 160.74
  4. Step 4: Simplify right side
    243.48x = 54,039.98
  5. Step 5: Solve for x
    x = 54,039.98/243.48
  6. Step 6: Final answer
    x = 221.95

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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.