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Finding the Fourth Proportional to 318.96, 440.25 and 201

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Solution

The fourth proportional to 318.96, 440.25 and 201 is: 277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.96 : 440.25 = 201 : x
  2. Step 2: Convert to fraction form
    318.96/440.25 = 201/x
  3. Step 3: Cross multiply
    318.96x = 440.25 × 201
  4. Step 4: Simplify right side
    318.96x = 88,490.25
  5. Step 5: Solve for x
    x = 88,490.25/318.96
  6. Step 6: Final answer
    x = 277.43

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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.