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Finding the Fourth Proportional to 188.85, 260.24 and 142.28

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Solution

The fourth proportional to 188.85, 260.24 and 142.28 is: 196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.85 : 260.24 = 142.28 : x
  2. Step 2: Convert to fraction form
    188.85/260.24 = 142.28/x
  3. Step 3: Cross multiply
    188.85x = 260.24 × 142.28
  4. Step 4: Simplify right side
    188.85x = 37,024.93
  5. Step 5: Solve for x
    x = 37,024.93/188.85
  6. Step 6: Final answer
    x = 196.05

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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.