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Finding the Fourth Proportional to 318.84, 477.96 and 135.99

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Solution

The fourth proportional to 318.84, 477.96 and 135.99 is: 203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.84 : 477.96 = 135.99 : x
  2. Step 2: Convert to fraction form
    318.84/477.96 = 135.99/x
  3. Step 3: Cross multiply
    318.84x = 477.96 × 135.99
  4. Step 4: Simplify right side
    318.84x = 64,997.78
  5. Step 5: Solve for x
    x = 64,997.78/318.84
  6. Step 6: Final answer
    x = 203.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.