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Finding the Fourth Proportional to 319.32, 440.74 and 195

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Solution

The fourth proportional to 319.32, 440.74 and 195 is: 269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.32 : 440.74 = 195 : x
  2. Step 2: Convert to fraction form
    319.32/440.74 = 195/x
  3. Step 3: Cross multiply
    319.32x = 440.74 × 195
  4. Step 4: Simplify right side
    319.32x = 85,944.30
  5. Step 5: Solve for x
    x = 85,944.30/319.32
  6. Step 6: Final answer
    x = 269.15

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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.