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Finding the Fourth Proportional to 228.54, 342.63 and 132.42

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Solution

The fourth proportional to 228.54, 342.63 and 132.42 is: 198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.54 : 342.63 = 132.42 : x
  2. Step 2: Convert to fraction form
    228.54/342.63 = 132.42/x
  3. Step 3: Cross multiply
    228.54x = 342.63 × 132.42
  4. Step 4: Simplify right side
    228.54x = 45,371.06
  5. Step 5: Solve for x
    x = 45,371.06/228.54
  6. Step 6: Final answer
    x = 198.53

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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.