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Finding the Fourth Proportional to 319.14, 478.08 and 174.78

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Solution

The fourth proportional to 319.14, 478.08 and 174.78 is: 261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.14 : 478.08 = 174.78 : x
  2. Step 2: Convert to fraction form
    319.14/478.08 = 174.78/x
  3. Step 3: Cross multiply
    319.14x = 478.08 × 174.78
  4. Step 4: Simplify right side
    319.14x = 83,558.82
  5. Step 5: Solve for x
    x = 83,558.82/319.14
  6. Step 6: Final answer
    x = 261.82

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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.