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Finding the Fourth Proportional to 188.86, 282.83 and 96.07

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Solution

The fourth proportional to 188.86, 282.83 and 96.07 is: 143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.86 : 282.83 = 96.07 : x
  2. Step 2: Convert to fraction form
    188.86/282.83 = 96.07/x
  3. Step 3: Cross multiply
    188.86x = 282.83 × 96.07
  4. Step 4: Simplify right side
    188.86x = 27,170.24
  5. Step 5: Solve for x
    x = 27,170.24/188.86
  6. Step 6: Final answer
    x = 143.87

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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.