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Finding the Fourth Proportional to 318.25, 477.05 and 135.76

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Solution

The fourth proportional to 318.25, 477.05 and 135.76 is: 203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.25 : 477.05 = 135.76 : x
  2. Step 2: Convert to fraction form
    318.25/477.05 = 135.76/x
  3. Step 3: Cross multiply
    318.25x = 477.05 × 135.76
  4. Step 4: Simplify right side
    318.25x = 64,763.63
  5. Step 5: Solve for x
    x = 64,763.63/318.25
  6. Step 6: Final answer
    x = 203.50

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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.