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Finding the Fourth Proportional to 143.78, 215.42 and 118.08

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Solution

The fourth proportional to 143.78, 215.42 and 118.08 is: 176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.78 : 215.42 = 118.08 : x
  2. Step 2: Convert to fraction form
    143.78/215.42 = 118.08/x
  3. Step 3: Cross multiply
    143.78x = 215.42 × 118.08
  4. Step 4: Simplify right side
    143.78x = 25,436.79
  5. Step 5: Solve for x
    x = 25,436.79/143.78
  6. Step 6: Final answer
    x = 176.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.