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Finding the Fourth Proportional to 306.36, 459.19 and 169.33

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Solution

The fourth proportional to 306.36, 459.19 and 169.33 is: 253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.36 : 459.19 = 169.33 : x
  2. Step 2: Convert to fraction form
    306.36/459.19 = 169.33/x
  3. Step 3: Cross multiply
    306.36x = 459.19 × 169.33
  4. Step 4: Simplify right side
    306.36x = 77,754.64
  5. Step 5: Solve for x
    x = 77,754.64/306.36
  6. Step 6: Final answer
    x = 253.80

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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.