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Finding the Fourth Proportional to 167.38, 230.37 and 148.95

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Solution

The fourth proportional to 167.38, 230.37 and 148.95 is: 205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.38 : 230.37 = 148.95 : x
  2. Step 2: Convert to fraction form
    167.38/230.37 = 148.95/x
  3. Step 3: Cross multiply
    167.38x = 230.37 × 148.95
  4. Step 4: Simplify right side
    167.38x = 34,313.61
  5. Step 5: Solve for x
    x = 34,313.61/167.38
  6. Step 6: Final answer
    x = 205.00

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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.