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Finding the Fourth Proportional to 167, 248.84 and 148.83

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Solution

The fourth proportional to 167, 248.84 and 148.83 is: 221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167 : 248.84 = 148.83 : x
  2. Step 2: Convert to fraction form
    167/248.84 = 148.83/x
  3. Step 3: Cross multiply
    167x = 248.84 × 148.83
  4. Step 4: Simplify right side
    167x = 37,034.86
  5. Step 5: Solve for x
    x = 37,034.86/167
  6. Step 6: Final answer
    x = 221.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.