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Finding the Fourth Proportional to 188.21, 281.08 and 151.71

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Solution

The fourth proportional to 188.21, 281.08 and 151.71 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.21 : 281.08 = 151.71 : x
  2. Step 2: Convert to fraction form
    188.21/281.08 = 151.71/x
  3. Step 3: Cross multiply
    188.21x = 281.08 × 151.71
  4. Step 4: Simplify right side
    188.21x = 42,641.78
  5. Step 5: Solve for x
    x = 42,641.78/188.21
  6. Step 6: Final answer
    x = 226.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.