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Finding the Fourth Proportional to 319.94, 480.18 and 165.96

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Solution

The fourth proportional to 319.94, 480.18 and 165.96 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.94 : 480.18 = 165.96 : x
  2. Step 2: Convert to fraction form
    319.94/480.18 = 165.96/x
  3. Step 3: Cross multiply
    319.94x = 480.18 × 165.96
  4. Step 4: Simplify right side
    319.94x = 79,690.67
  5. Step 5: Solve for x
    x = 79,690.67/319.94
  6. Step 6: Final answer
    x = 249.08

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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.