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Finding the Fourth Proportional to 306.50, 459.81 and 144.09

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Solution

The fourth proportional to 306.50, 459.81 and 144.09 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.50 : 459.81 = 144.09 : x
  2. Step 2: Convert to fraction form
    306.50/459.81 = 144.09/x
  3. Step 3: Cross multiply
    306.50x = 459.81 × 144.09
  4. Step 4: Simplify right side
    306.50x = 66,254.02
  5. Step 5: Solve for x
    x = 66,254.02/306.50
  6. Step 6: Final answer
    x = 216.17

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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.