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Finding the Fourth Proportional to 188.28, 282.45 and 64.85

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Solution

The fourth proportional to 188.28, 282.45 and 64.85 is: 97.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.28 : 282.45 = 64.85 : x
  2. Step 2: Convert to fraction form
    188.28/282.45 = 64.85/x
  3. Step 3: Cross multiply
    188.28x = 282.45 × 64.85
  4. Step 4: Simplify right side
    188.28x = 18,317.21
  5. Step 5: Solve for x
    x = 18,317.21/188.28
  6. Step 6: Final answer
    x = 97.29

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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.