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Finding the Fourth Proportional to 188.24, 282.10 and 106.92

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Solution

The fourth proportional to 188.24, 282.10 and 106.92 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.24 : 282.10 = 106.92 : x
  2. Step 2: Convert to fraction form
    188.24/282.10 = 106.92/x
  3. Step 3: Cross multiply
    188.24x = 282.10 × 106.92
  4. Step 4: Simplify right side
    188.24x = 30,162.13
  5. Step 5: Solve for x
    x = 30,162.13/188.24
  6. Step 6: Final answer
    x = 160.23

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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.