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Finding the Fourth Proportional to 318.83, 478.20 and 197.84

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Solution

The fourth proportional to 318.83, 478.20 and 197.84 is: 296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.83 : 478.20 = 197.84 : x
  2. Step 2: Convert to fraction form
    318.83/478.20 = 197.84/x
  3. Step 3: Cross multiply
    318.83x = 478.20 × 197.84
  4. Step 4: Simplify right side
    318.83x = 94,603.71
  5. Step 5: Solve for x
    x = 94,603.71/318.83
  6. Step 6: Final answer
    x = 296.72

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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.