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Finding the Fourth Proportional to 188.24, 282.38 and 80.06

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Solution

The fourth proportional to 188.24, 282.38 and 80.06 is: 120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.24 : 282.38 = 80.06 : x
  2. Step 2: Convert to fraction form
    188.24/282.38 = 80.06/x
  3. Step 3: Cross multiply
    188.24x = 282.38 × 80.06
  4. Step 4: Simplify right side
    188.24x = 22,605.53
  5. Step 5: Solve for x
    x = 22,605.53/188.24
  6. Step 6: Final answer
    x = 120.09

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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.