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Finding the Fourth Proportional to 143.78, 216.65 and 118.66

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Solution

The fourth proportional to 143.78, 216.65 and 118.66 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.78 : 216.65 = 118.66 : x
  2. Step 2: Convert to fraction form
    143.78/216.65 = 118.66/x
  3. Step 3: Cross multiply
    143.78x = 216.65 × 118.66
  4. Step 4: Simplify right side
    143.78x = 25,707.69
  5. Step 5: Solve for x
    x = 25,707.69/143.78
  6. Step 6: Final answer
    x = 178.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.