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Finding the Fourth Proportional to 311.64, 430.02 and 195.36

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Solution

The fourth proportional to 311.64, 430.02 and 195.36 is: 269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.64 : 430.02 = 195.36 : x
  2. Step 2: Convert to fraction form
    311.64/430.02 = 195.36/x
  3. Step 3: Cross multiply
    311.64x = 430.02 × 195.36
  4. Step 4: Simplify right side
    311.64x = 84,008.71
  5. Step 5: Solve for x
    x = 84,008.71/311.64
  6. Step 6: Final answer
    x = 269.57

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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.