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Finding the Fourth Proportional to 188.97, 260.78 and 110.31

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Solution

The fourth proportional to 188.97, 260.78 and 110.31 is: 152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.97 : 260.78 = 110.31 : x
  2. Step 2: Convert to fraction form
    188.97/260.78 = 110.31/x
  3. Step 3: Cross multiply
    188.97x = 260.78 × 110.31
  4. Step 4: Simplify right side
    188.97x = 28,765.11
  5. Step 5: Solve for x
    x = 28,765.11/188.97
  6. Step 6: Final answer
    x = 152.22

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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.