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Finding the Fourth Proportional to 319.22, 479.03 and 165.16

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Solution

The fourth proportional to 319.22, 479.03 and 165.16 is: 247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.22 : 479.03 = 165.16 : x
  2. Step 2: Convert to fraction form
    319.22/479.03 = 165.16/x
  3. Step 3: Cross multiply
    319.22x = 479.03 × 165.16
  4. Step 4: Simplify right side
    319.22x = 79,118.99
  5. Step 5: Solve for x
    x = 79,118.99/319.22
  6. Step 6: Final answer
    x = 247.85

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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.