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Finding the Fourth Proportional to 310.67, 465.78 and 195.10

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Solution

The fourth proportional to 310.67, 465.78 and 195.10 is: 292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.67 : 465.78 = 195.10 : x
  2. Step 2: Convert to fraction form
    310.67/465.78 = 195.10/x
  3. Step 3: Cross multiply
    310.67x = 465.78 × 195.10
  4. Step 4: Simplify right side
    310.67x = 90,873.68
  5. Step 5: Solve for x
    x = 90,873.68/310.67
  6. Step 6: Final answer
    x = 292.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.