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Finding the Fourth Proportional to 188.23, 282.37 and 66.47

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Solution

The fourth proportional to 188.23, 282.37 and 66.47 is: 99.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.23 : 282.37 = 66.47 : x
  2. Step 2: Convert to fraction form
    188.23/282.37 = 66.47/x
  3. Step 3: Cross multiply
    188.23x = 282.37 × 66.47
  4. Step 4: Simplify right side
    188.23x = 18,769.13
  5. Step 5: Solve for x
    x = 18,769.13/188.23
  6. Step 6: Final answer
    x = 99.71

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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.