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Finding the Fourth Proportional to 319.44, 478.80 and 156.78

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Solution

The fourth proportional to 319.44, 478.80 and 156.78 is: 234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.44 : 478.80 = 156.78 : x
  2. Step 2: Convert to fraction form
    319.44/478.80 = 156.78/x
  3. Step 3: Cross multiply
    319.44x = 478.80 × 156.78
  4. Step 4: Simplify right side
    319.44x = 75,066.26
  5. Step 5: Solve for x
    x = 75,066.26/319.44
  6. Step 6: Final answer
    x = 234.99

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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.