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Finding the Fourth Proportional to 315.26, 472.60 and 132.54

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Solution

The fourth proportional to 315.26, 472.60 and 132.54 is: 198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.26 : 472.60 = 132.54 : x
  2. Step 2: Convert to fraction form
    315.26/472.60 = 132.54/x
  3. Step 3: Cross multiply
    315.26x = 472.60 × 132.54
  4. Step 4: Simplify right side
    315.26x = 62,638.40
  5. Step 5: Solve for x
    x = 62,638.40/315.26
  6. Step 6: Final answer
    x = 198.69

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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.