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Finding the Fourth Proportional to 225.64, 338.14 and 117.20

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Solution

The fourth proportional to 225.64, 338.14 and 117.20 is: 175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.64 : 338.14 = 117.20 : x
  2. Step 2: Convert to fraction form
    225.64/338.14 = 117.20/x
  3. Step 3: Cross multiply
    225.64x = 338.14 × 117.20
  4. Step 4: Simplify right side
    225.64x = 39,630.01
  5. Step 5: Solve for x
    x = 39,630.01/225.64
  6. Step 6: Final answer
    x = 175.63

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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.