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Finding the Fourth Proportional to 188.38, 259.96 and 110.76

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Solution

The fourth proportional to 188.38, 259.96 and 110.76 is: 152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.38 : 259.96 = 110.76 : x
  2. Step 2: Convert to fraction form
    188.38/259.96 = 110.76/x
  3. Step 3: Cross multiply
    188.38x = 259.96 × 110.76
  4. Step 4: Simplify right side
    188.38x = 28,793.17
  5. Step 5: Solve for x
    x = 28,793.17/188.38
  6. Step 6: Final answer
    x = 152.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.