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Finding the Fourth Proportional to 313.20, 432.23 and 195.25

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Solution

The fourth proportional to 313.20, 432.23 and 195.25 is: 269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.20 : 432.23 = 195.25 : x
  2. Step 2: Convert to fraction form
    313.20/432.23 = 195.25/x
  3. Step 3: Cross multiply
    313.20x = 432.23 × 195.25
  4. Step 4: Simplify right side
    313.20x = 84,390.75
  5. Step 5: Solve for x
    x = 84,390.75/313.20
  6. Step 6: Final answer
    x = 269.45

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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.