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Finding the Fourth Proportional to 188.80, 260.54 and 110.12

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Solution

The fourth proportional to 188.80, 260.54 and 110.12 is: 151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.80 : 260.54 = 110.12 : x
  2. Step 2: Convert to fraction form
    188.80/260.54 = 110.12/x
  3. Step 3: Cross multiply
    188.80x = 260.54 × 110.12
  4. Step 4: Simplify right side
    188.80x = 28,690.66
  5. Step 5: Solve for x
    x = 28,690.66/188.80
  6. Step 6: Final answer
    x = 151.96

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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.