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Finding the Fourth Proportional to 314.83, 434.33 and 196.77

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Solution

The fourth proportional to 314.83, 434.33 and 196.77 is: 271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.83 : 434.33 = 196.77 : x
  2. Step 2: Convert to fraction form
    314.83/434.33 = 196.77/x
  3. Step 3: Cross multiply
    314.83x = 434.33 × 196.77
  4. Step 4: Simplify right side
    314.83x = 85,463.61
  5. Step 5: Solve for x
    x = 85,463.61/314.83
  6. Step 6: Final answer
    x = 271.46

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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.