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Finding the Fourth Proportional to 225.98, 312.14 and 167.08

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Solution

The fourth proportional to 225.98, 312.14 and 167.08 is: 230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.98 : 312.14 = 167.08 : x
  2. Step 2: Convert to fraction form
    225.98/312.14 = 167.08/x
  3. Step 3: Cross multiply
    225.98x = 312.14 × 167.08
  4. Step 4: Simplify right side
    225.98x = 52,151.52
  5. Step 5: Solve for x
    x = 52,151.52/225.98
  6. Step 6: Final answer
    x = 230.78

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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.