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Finding the Fourth Proportional to 319.13, 478.60 and 165.23

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Solution

The fourth proportional to 319.13, 478.60 and 165.23 is: 247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 478.60 = 165.23 : x
  2. Step 2: Convert to fraction form
    319.13/478.60 = 165.23/x
  3. Step 3: Cross multiply
    319.13x = 478.60 × 165.23
  4. Step 4: Simplify right side
    319.13x = 79,079.08
  5. Step 5: Solve for x
    x = 79,079.08/319.13
  6. Step 6: Final answer
    x = 247.80

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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.