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Finding the Fourth Proportional to 188.24, 282.42 and 96.86

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Solution

The fourth proportional to 188.24, 282.42 and 96.86 is: 145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.24 : 282.42 = 96.86 : x
  2. Step 2: Convert to fraction form
    188.24/282.42 = 96.86/x
  3. Step 3: Cross multiply
    188.24x = 282.42 × 96.86
  4. Step 4: Simplify right side
    188.24x = 27,355.20
  5. Step 5: Solve for x
    x = 27,355.20/188.24
  6. Step 6: Final answer
    x = 145.32

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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.