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Finding the Fourth Proportional to 318.84, 478.26 and 123.80

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Solution

The fourth proportional to 318.84, 478.26 and 123.80 is: 185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.84 : 478.26 = 123.80 : x
  2. Step 2: Convert to fraction form
    318.84/478.26 = 123.80/x
  3. Step 3: Cross multiply
    318.84x = 478.26 × 123.80
  4. Step 4: Simplify right side
    318.84x = 59,206.20
  5. Step 5: Solve for x
    x = 59,206.20/318.84
  6. Step 6: Final answer
    x = 185.69

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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.