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Finding the Fourth Proportional to 243.53, 335.96 and 160.52

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Solution

The fourth proportional to 243.53, 335.96 and 160.52 is: 221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.53 : 335.96 = 160.52 : x
  2. Step 2: Convert to fraction form
    243.53/335.96 = 160.52/x
  3. Step 3: Cross multiply
    243.53x = 335.96 × 160.52
  4. Step 4: Simplify right side
    243.53x = 53,925.82
  5. Step 5: Solve for x
    x = 53,925.82/243.53
  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.