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Finding the Fourth Proportional to 167, 230.58 and 115.32

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Solution

The fourth proportional to 167, 230.58 and 115.32 is: 159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167 : 230.58 = 115.32 : x
  2. Step 2: Convert to fraction form
    167/230.58 = 115.32/x
  3. Step 3: Cross multiply
    167x = 230.58 × 115.32
  4. Step 4: Simplify right side
    167x = 26,590.49
  5. Step 5: Solve for x
    x = 26,590.49/167
  6. Step 6: Final answer
    x = 159.22

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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.