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Finding the Fourth Proportional to 213.77, 320.45 and 131.55

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Solution

The fourth proportional to 213.77, 320.45 and 131.55 is: 197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.77 : 320.45 = 131.55 : x
  2. Step 2: Convert to fraction form
    213.77/320.45 = 131.55/x
  3. Step 3: Cross multiply
    213.77x = 320.45 × 131.55
  4. Step 4: Simplify right side
    213.77x = 42,154.54
  5. Step 5: Solve for x
    x = 42,154.54/213.77
  6. Step 6: Final answer
    x = 197.20

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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.