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Finding the Fourth Proportional to 160.23, 240.38 and 83.26

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Solution

The fourth proportional to 160.23, 240.38 and 83.26 is: 124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.23 : 240.38 = 83.26 : x
  2. Step 2: Convert to fraction form
    160.23/240.38 = 83.26/x
  3. Step 3: Cross multiply
    160.23x = 240.38 × 83.26
  4. Step 4: Simplify right side
    160.23x = 20,014.24
  5. Step 5: Solve for x
    x = 20,014.24/160.23
  6. Step 6: Final answer
    x = 124.91

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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.