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Finding the Fourth Proportional to 311.64, 430.04 and 195.20

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Solution

The fourth proportional to 311.64, 430.04 and 195.20 is: 269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.64 : 430.04 = 195.20 : x
  2. Step 2: Convert to fraction form
    311.64/430.04 = 195.20/x
  3. Step 3: Cross multiply
    311.64x = 430.04 × 195.20
  4. Step 4: Simplify right side
    311.64x = 83,943.81
  5. Step 5: Solve for x
    x = 83,943.81/311.64
  6. Step 6: Final answer
    x = 269.36

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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.