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Finding the Fourth Proportional to 213.52, 293.88 and 197.32

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Solution

The fourth proportional to 213.52, 293.88 and 197.32 is: 271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.52 : 293.88 = 197.32 : x
  2. Step 2: Convert to fraction form
    213.52/293.88 = 197.32/x
  3. Step 3: Cross multiply
    213.52x = 293.88 × 197.32
  4. Step 4: Simplify right side
    213.52x = 57,988.40
  5. Step 5: Solve for x
    x = 57,988.40/213.52
  6. Step 6: Final answer
    x = 271.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.