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Finding the Fourth Proportional to 319.24, 440.59 and 194.94

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Solution

The fourth proportional to 319.24, 440.59 and 194.94 is: 269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 440.59 = 194.94 : x
  2. Step 2: Convert to fraction form
    319.24/440.59 = 194.94/x
  3. Step 3: Cross multiply
    319.24x = 440.59 × 194.94
  4. Step 4: Simplify right side
    319.24x = 85,888.61
  5. Step 5: Solve for x
    x = 85,888.61/319.24
  6. Step 6: Final answer
    x = 269.04

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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.