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Finding the Fourth Proportional to 319.95, 480.29 and 166.05

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Solution

The fourth proportional to 319.95, 480.29 and 166.05 is: 249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.95 : 480.29 = 166.05 : x
  2. Step 2: Convert to fraction form
    319.95/480.29 = 166.05/x
  3. Step 3: Cross multiply
    319.95x = 480.29 × 166.05
  4. Step 4: Simplify right side
    319.95x = 79,751.32
  5. Step 5: Solve for x
    x = 79,751.32/319.95
  6. Step 6: Final answer
    x = 249.26

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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.