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Finding the Fourth Proportional to 225.76, 338.76 and 97.50

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Solution

The fourth proportional to 225.76, 338.76 and 97.50 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.76 : 338.76 = 97.50 : x
  2. Step 2: Convert to fraction form
    225.76/338.76 = 97.50/x
  3. Step 3: Cross multiply
    225.76x = 338.76 × 97.50
  4. Step 4: Simplify right side
    225.76x = 33,029.10
  5. Step 5: Solve for x
    x = 33,029.10/225.76
  6. Step 6: Final answer
    x = 146.30

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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.