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Finding the Fourth Proportional to 188.80, 260.54 and 114.11

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Solution

The fourth proportional to 188.80, 260.54 and 114.11 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.80 : 260.54 = 114.11 : x
  2. Step 2: Convert to fraction form
    188.80/260.54 = 114.11/x
  3. Step 3: Cross multiply
    188.80x = 260.54 × 114.11
  4. Step 4: Simplify right side
    188.80x = 29,729.75
  5. Step 5: Solve for x
    x = 29,729.75/188.80
  6. Step 6: Final answer
    x = 157.47

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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.