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Finding the Fourth Proportional to 188.88, 260.72 and 111.25

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Solution

The fourth proportional to 188.88, 260.72 and 111.25 is: 153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.88 : 260.72 = 111.25 : x
  2. Step 2: Convert to fraction form
    188.88/260.72 = 111.25/x
  3. Step 3: Cross multiply
    188.88x = 260.72 × 111.25
  4. Step 4: Simplify right side
    188.88x = 29,005.10
  5. Step 5: Solve for x
    x = 29,005.10/188.88
  6. Step 6: Final answer
    x = 153.56

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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.