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Finding the Fourth Proportional to 319.02, 440.32 and 200.90

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Solution

The fourth proportional to 319.02, 440.32 and 200.90 is: 277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.02 : 440.32 = 200.90 : x
  2. Step 2: Convert to fraction form
    319.02/440.32 = 200.90/x
  3. Step 3: Cross multiply
    319.02x = 440.32 × 200.90
  4. Step 4: Simplify right side
    319.02x = 88,460.29
  5. Step 5: Solve for x
    x = 88,460.29/319.02
  6. Step 6: Final answer
    x = 277.29

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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.