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Finding the Fourth Proportional to 225.74, 338.70 and 117.47

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Solution

The fourth proportional to 225.74, 338.70 and 117.47 is: 176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.74 : 338.70 = 117.47 : x
  2. Step 2: Convert to fraction form
    225.74/338.70 = 117.47/x
  3. Step 3: Cross multiply
    225.74x = 338.70 × 117.47
  4. Step 4: Simplify right side
    225.74x = 39,787.09
  5. Step 5: Solve for x
    x = 39,787.09/225.74
  6. Step 6: Final answer
    x = 176.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.