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Finding the Fourth Proportional to 243.92, 366 and 106.90

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Solution

The fourth proportional to 243.92, 366 and 106.90 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.92 : 366 = 106.90 : x
  2. Step 2: Convert to fraction form
    243.92/366 = 106.90/x
  3. Step 3: Cross multiply
    243.92x = 366 × 106.90
  4. Step 4: Simplify right side
    243.92x = 39,125.40
  5. Step 5: Solve for x
    x = 39,125.40/243.92
  6. Step 6: Final answer
    x = 160.40

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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.