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Finding the Fourth Proportional to 225.60, 338.35 and 117.33

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Solution

The fourth proportional to 225.60, 338.35 and 117.33 is: 175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 338.35 = 117.33 : x
  2. Step 2: Convert to fraction form
    225.60/338.35 = 117.33/x
  3. Step 3: Cross multiply
    225.60x = 338.35 × 117.33
  4. Step 4: Simplify right side
    225.60x = 39,698.61
  5. Step 5: Solve for x
    x = 39,698.61/225.60
  6. Step 6: Final answer
    x = 175.97

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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.