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Finding the Fourth Proportional to 318.45, 477.89 and 135.89

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Solution

The fourth proportional to 318.45, 477.89 and 135.89 is: 203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.45 : 477.89 = 135.89 : x
  2. Step 2: Convert to fraction form
    318.45/477.89 = 135.89/x
  3. Step 3: Cross multiply
    318.45x = 477.89 × 135.89
  4. Step 4: Simplify right side
    318.45x = 64,942.01
  5. Step 5: Solve for x
    x = 64,942.01/318.45
  6. Step 6: Final answer
    x = 203.93

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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.