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Finding the Fourth Proportional to 239.68, 330.54 and 160.93

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Solution

The fourth proportional to 239.68, 330.54 and 160.93 is: 221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.68 : 330.54 = 160.93 : x
  2. Step 2: Convert to fraction form
    239.68/330.54 = 160.93/x
  3. Step 3: Cross multiply
    239.68x = 330.54 × 160.93
  4. Step 4: Simplify right side
    239.68x = 53,193.61
  5. Step 5: Solve for x
    x = 53,193.61/239.68
  6. Step 6: Final answer
    x = 221.94

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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.