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Finding the Fourth Proportional to 306.23, 459.14 and 169.24

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Solution

The fourth proportional to 306.23, 459.14 and 169.24 is: 253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.23 : 459.14 = 169.24 : x
  2. Step 2: Convert to fraction form
    306.23/459.14 = 169.24/x
  3. Step 3: Cross multiply
    306.23x = 459.14 × 169.24
  4. Step 4: Simplify right side
    306.23x = 77,704.85
  5. Step 5: Solve for x
    x = 77,704.85/306.23
  6. Step 6: Final answer
    x = 253.75

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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.