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Finding the Fourth Proportional to 318.02, 438.87 and 200.06

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Solution

The fourth proportional to 318.02, 438.87 and 200.06 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.02 : 438.87 = 200.06 : x
  2. Step 2: Convert to fraction form
    318.02/438.87 = 200.06/x
  3. Step 3: Cross multiply
    318.02x = 438.87 × 200.06
  4. Step 4: Simplify right side
    318.02x = 87,800.33
  5. Step 5: Solve for x
    x = 87,800.33/318.02
  6. Step 6: Final answer
    x = 276.08

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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.