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Finding the Fourth Proportional to 225.08, 310.32 and 166.76

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Solution

The fourth proportional to 225.08, 310.32 and 166.76 is: 229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.08 : 310.32 = 166.76 : x
  2. Step 2: Convert to fraction form
    225.08/310.32 = 166.76/x
  3. Step 3: Cross multiply
    225.08x = 310.32 × 166.76
  4. Step 4: Simplify right side
    225.08x = 51,747.41
  5. Step 5: Solve for x
    x = 51,747.41/225.08
  6. Step 6: Final answer
    x = 229.91

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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.