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Finding the Fourth Proportional to 188.90, 281.14 and 188.30

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Solution

The fourth proportional to 188.90, 281.14 and 188.30 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.90 : 281.14 = 188.30 : x
  2. Step 2: Convert to fraction form
    188.90/281.14 = 188.30/x
  3. Step 3: Cross multiply
    188.90x = 281.14 × 188.30
  4. Step 4: Simplify right side
    188.90x = 52,938.66
  5. Step 5: Solve for x
    x = 52,938.66/188.90
  6. Step 6: Final answer
    x = 280.25

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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.