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Finding the Fourth Proportional to 188.98, 283.51 and 67.24

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Solution

The fourth proportional to 188.98, 283.51 and 67.24 is: 100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.98 : 283.51 = 67.24 : x
  2. Step 2: Convert to fraction form
    188.98/283.51 = 67.24/x
  3. Step 3: Cross multiply
    188.98x = 283.51 × 67.24
  4. Step 4: Simplify right side
    188.98x = 19,062.66
  5. Step 5: Solve for x
    x = 19,062.66/188.98
  6. Step 6: Final answer
    x = 100.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.