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Finding the Fourth Proportional to 188.99, 282.56 and 160.43

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Solution

The fourth proportional to 188.99, 282.56 and 160.43 is: 239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.99 : 282.56 = 160.43 : x
  2. Step 2: Convert to fraction form
    188.99/282.56 = 160.43/x
  3. Step 3: Cross multiply
    188.99x = 282.56 × 160.43
  4. Step 4: Simplify right side
    188.99x = 45,331.10
  5. Step 5: Solve for x
    x = 45,331.10/188.99
  6. Step 6: Final answer
    x = 239.87

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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.