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Finding the Fourth Proportional to 160.68, 240.56 and 122.31

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Solution

The fourth proportional to 160.68, 240.56 and 122.31 is: 183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.68 : 240.56 = 122.31 : x
  2. Step 2: Convert to fraction form
    160.68/240.56 = 122.31/x
  3. Step 3: Cross multiply
    160.68x = 240.56 × 122.31
  4. Step 4: Simplify right side
    160.68x = 29,422.89
  5. Step 5: Solve for x
    x = 29,422.89/160.68
  6. Step 6: Final answer
    x = 183.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.