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Finding the Fourth Proportional to 319.46, 440.74 and 195.10

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Solution

The fourth proportional to 319.46, 440.74 and 195.10 is: 269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.46 : 440.74 = 195.10 : x
  2. Step 2: Convert to fraction form
    319.46/440.74 = 195.10/x
  3. Step 3: Cross multiply
    319.46x = 440.74 × 195.10
  4. Step 4: Simplify right side
    319.46x = 85,988.37
  5. Step 5: Solve for x
    x = 85,988.37/319.46
  6. Step 6: Final answer
    x = 269.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.