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Finding the Fourth Proportional to 311.49, 430.06 and 193.59

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Solution

The fourth proportional to 311.49, 430.06 and 193.59 is: 267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.49 : 430.06 = 193.59 : x
  2. Step 2: Convert to fraction form
    311.49/430.06 = 193.59/x
  3. Step 3: Cross multiply
    311.49x = 430.06 × 193.59
  4. Step 4: Simplify right side
    311.49x = 83,254.83
  5. Step 5: Solve for x
    x = 83,254.83/311.49
  6. Step 6: Final answer
    x = 267.28

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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.