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Finding the Fourth Proportional to 310.76, 428.98 and 194.38

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Solution

The fourth proportional to 310.76, 428.98 and 194.38 is: 268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.76 : 428.98 = 194.38 : x
  2. Step 2: Convert to fraction form
    310.76/428.98 = 194.38/x
  3. Step 3: Cross multiply
    310.76x = 428.98 × 194.38
  4. Step 4: Simplify right side
    310.76x = 83,385.13
  5. Step 5: Solve for x
    x = 83,385.13/310.76
  6. Step 6: Final answer
    x = 268.33

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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.