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Finding the Fourth Proportional to 319.62, 478.90 and 197.64

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Solution

The fourth proportional to 319.62, 478.90 and 197.64 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.62 : 478.90 = 197.64 : x
  2. Step 2: Convert to fraction form
    319.62/478.90 = 197.64/x
  3. Step 3: Cross multiply
    319.62x = 478.90 × 197.64
  4. Step 4: Simplify right side
    319.62x = 94,649.80
  5. Step 5: Solve for x
    x = 94,649.80/319.62
  6. Step 6: Final answer
    x = 296.13

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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.