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Finding the Fourth Proportional to 319.02, 440.31 and 207.13

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Solution

The fourth proportional to 319.02, 440.31 and 207.13 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.02 : 440.31 = 207.13 : x
  2. Step 2: Convert to fraction form
    319.02/440.31 = 207.13/x
  3. Step 3: Cross multiply
    319.02x = 440.31 × 207.13
  4. Step 4: Simplify right side
    319.02x = 91,201.91
  5. Step 5: Solve for x
    x = 91,201.91/319.02
  6. Step 6: Final answer
    x = 285.88

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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.