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Finding the Fourth Proportional to 225.70, 338.12 and 117.60

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Solution

The fourth proportional to 225.70, 338.12 and 117.60 is: 176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.70 : 338.12 = 117.60 : x
  2. Step 2: Convert to fraction form
    225.70/338.12 = 117.60/x
  3. Step 3: Cross multiply
    225.70x = 338.12 × 117.60
  4. Step 4: Simplify right side
    225.70x = 39,762.91
  5. Step 5: Solve for x
    x = 39,762.91/225.70
  6. Step 6: Final answer
    x = 176.18

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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.