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Finding the Fourth Proportional to 310.54, 428.22 and 193.90

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Solution

The fourth proportional to 310.54, 428.22 and 193.90 is: 267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.54 : 428.22 = 193.90 : x
  2. Step 2: Convert to fraction form
    310.54/428.22 = 193.90/x
  3. Step 3: Cross multiply
    310.54x = 428.22 × 193.90
  4. Step 4: Simplify right side
    310.54x = 83,031.86
  5. Step 5: Solve for x
    x = 83,031.86/310.54
  6. Step 6: Final answer
    x = 267.38

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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.