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Finding the Fourth Proportional to 306.45, 459.83 and 144.11

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Solution

The fourth proportional to 306.45, 459.83 and 144.11 is: 216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.45 : 459.83 = 144.11 : x
  2. Step 2: Convert to fraction form
    306.45/459.83 = 144.11/x
  3. Step 3: Cross multiply
    306.45x = 459.83 × 144.11
  4. Step 4: Simplify right side
    306.45x = 66,263.08
  5. Step 5: Solve for x
    x = 66,263.08/306.45
  6. Step 6: Final answer
    x = 216.23

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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.