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Finding the Fourth Proportional to 188.14, 282.34 and 96.90

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Solution

The fourth proportional to 188.14, 282.34 and 96.90 is: 145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.14 : 282.34 = 96.90 : x
  2. Step 2: Convert to fraction form
    188.14/282.34 = 96.90/x
  3. Step 3: Cross multiply
    188.14x = 282.34 × 96.90
  4. Step 4: Simplify right side
    188.14x = 27,358.75
  5. Step 5: Solve for x
    x = 27,358.75/188.14
  6. Step 6: Final answer
    x = 145.42

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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.