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Finding the Fourth Proportional to 319.32, 478.68 and 197.22

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Solution

The fourth proportional to 319.32, 478.68 and 197.22 is: 295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.32 : 478.68 = 197.22 : x
  2. Step 2: Convert to fraction form
    319.32/478.68 = 197.22/x
  3. Step 3: Cross multiply
    319.32x = 478.68 × 197.22
  4. Step 4: Simplify right side
    319.32x = 94,405.27
  5. Step 5: Solve for x
    x = 94,405.27/319.32
  6. Step 6: Final answer
    x = 295.64

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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.