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Finding the Fourth Proportional to 313.76, 432.78 and 197.12

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Solution

The fourth proportional to 313.76, 432.78 and 197.12 is: 271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 432.78 = 197.12 : x
  2. Step 2: Convert to fraction form
    313.76/432.78 = 197.12/x
  3. Step 3: Cross multiply
    313.76x = 432.78 × 197.12
  4. Step 4: Simplify right side
    313.76x = 85,309.59
  5. Step 5: Solve for x
    x = 85,309.59/313.76
  6. Step 6: Final answer
    x = 271.89

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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.