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Finding the Fourth Proportional to 319.06, 478.56 and 136.60

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Solution

The fourth proportional to 319.06, 478.56 and 136.60 is: 204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.06 : 478.56 = 136.60 : x
  2. Step 2: Convert to fraction form
    319.06/478.56 = 136.60/x
  3. Step 3: Cross multiply
    319.06x = 478.56 × 136.60
  4. Step 4: Simplify right side
    319.06x = 65,371.30
  5. Step 5: Solve for x
    x = 65,371.30/319.06
  6. Step 6: Final answer
    x = 204.89

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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.