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Finding the Fourth Proportional to 318.09, 477.15 and 101.82

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Solution

The fourth proportional to 318.09, 477.15 and 101.82 is: 152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.09 : 477.15 = 101.82 : x
  2. Step 2: Convert to fraction form
    318.09/477.15 = 101.82/x
  3. Step 3: Cross multiply
    318.09x = 477.15 × 101.82
  4. Step 4: Simplify right side
    318.09x = 48,583.41
  5. Step 5: Solve for x
    x = 48,583.41/318.09
  6. Step 6: Final answer
    x = 152.73

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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.