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Finding the Fourth Proportional to 319.01, 440.04 and 202.57

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Solution

The fourth proportional to 319.01, 440.04 and 202.57 is: 279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.01 : 440.04 = 202.57 : x
  2. Step 2: Convert to fraction form
    319.01/440.04 = 202.57/x
  3. Step 3: Cross multiply
    319.01x = 440.04 × 202.57
  4. Step 4: Simplify right side
    319.01x = 89,138.90
  5. Step 5: Solve for x
    x = 89,138.90/319.01
  6. Step 6: Final answer
    x = 279.42

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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.