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Finding the Fourth Proportional to 225.14, 310.69 and 121.64

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Solution

The fourth proportional to 225.14, 310.69 and 121.64 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.14 : 310.69 = 121.64 : x
  2. Step 2: Convert to fraction form
    225.14/310.69 = 121.64/x
  3. Step 3: Cross multiply
    225.14x = 310.69 × 121.64
  4. Step 4: Simplify right side
    225.14x = 37,793.02
  5. Step 5: Solve for x
    x = 37,793.02/225.14
  6. Step 6: Final answer
    x = 167.86

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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.