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Finding the Fourth Proportional to 311.81, 430.19 and 193.74

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Solution

The fourth proportional to 311.81, 430.19 and 193.74 is: 267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.81 : 430.19 = 193.74 : x
  2. Step 2: Convert to fraction form
    311.81/430.19 = 193.74/x
  3. Step 3: Cross multiply
    311.81x = 430.19 × 193.74
  4. Step 4: Simplify right side
    311.81x = 83,346.09
  5. Step 5: Solve for x
    x = 83,346.09/311.81
  6. Step 6: Final answer
    x = 267.30

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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.