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Finding the Fourth Proportional to 225.76, 338.36 and 165.10

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Solution

The fourth proportional to 225.76, 338.36 and 165.10 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.76 : 338.36 = 165.10 : x
  2. Step 2: Convert to fraction form
    225.76/338.36 = 165.10/x
  3. Step 3: Cross multiply
    225.76x = 338.36 × 165.10
  4. Step 4: Simplify right side
    225.76x = 55,863.24
  5. Step 5: Solve for x
    x = 55,863.24/225.76
  6. Step 6: Final answer
    x = 247.45

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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.