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Finding the Fourth Proportional to 160.46, 240.71 and 79.23

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Solution

The fourth proportional to 160.46, 240.71 and 79.23 is: 118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.46 : 240.71 = 79.23 : x
  2. Step 2: Convert to fraction form
    160.46/240.71 = 79.23/x
  3. Step 3: Cross multiply
    160.46x = 240.71 × 79.23
  4. Step 4: Simplify right side
    160.46x = 19,070.25
  5. Step 5: Solve for x
    x = 19,070.25/160.46
  6. Step 6: Final answer
    x = 118.85

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