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Finding the Fourth Proportional to 188.75, 260.57 and 142.05

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Solution

The fourth proportional to 188.75, 260.57 and 142.05 is: 196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.75 : 260.57 = 142.05 : x
  2. Step 2: Convert to fraction form
    188.75/260.57 = 142.05/x
  3. Step 3: Cross multiply
    188.75x = 260.57 × 142.05
  4. Step 4: Simplify right side
    188.75x = 37,013.97
  5. Step 5: Solve for x
    x = 37,013.97/188.75
  6. Step 6: Final answer
    x = 196.10

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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.