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Finding the Fourth Proportional to 225.78, 338.81 and 97.53

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Solution

The fourth proportional to 225.78, 338.81 and 97.53 is: 146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.78 : 338.81 = 97.53 : x
  2. Step 2: Convert to fraction form
    225.78/338.81 = 97.53/x
  3. Step 3: Cross multiply
    225.78x = 338.81 × 97.53
  4. Step 4: Simplify right side
    225.78x = 33,043.65
  5. Step 5: Solve for x
    x = 33,043.65/225.78
  6. Step 6: Final answer
    x = 146.35

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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.