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Finding the Fourth Proportional to 602.69, 903.96 and 169.83

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Solution

The fourth proportional to 602.69, 903.96 and 169.83 is: 254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.69 : 903.96 = 169.83 : x
  2. Step 2: Convert to fraction form
    602.69/903.96 = 169.83/x
  3. Step 3: Cross multiply
    602.69x = 903.96 × 169.83
  4. Step 4: Simplify right side
    602.69x = 153,519.53
  5. Step 5: Solve for x
    x = 153,519.53/602.69
  6. Step 6: Final answer
    x = 254.73

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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.