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Finding the Fourth Proportional to 167.34, 230.71 and 114.79

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Solution

The fourth proportional to 167.34, 230.71 and 114.79 is: 158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 230.71 = 114.79 : x
  2. Step 2: Convert to fraction form
    167.34/230.71 = 114.79/x
  3. Step 3: Cross multiply
    167.34x = 230.71 × 114.79
  4. Step 4: Simplify right side
    167.34x = 26,482.77
  5. Step 5: Solve for x
    x = 26,482.77/167.34
  6. Step 6: Final answer
    x = 158.26

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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.