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Finding the Fourth Proportional to 306.84, 459.90 and 144.30

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Solution

The fourth proportional to 306.84, 459.90 and 144.30 is: 216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.84 : 459.90 = 144.30 : x
  2. Step 2: Convert to fraction form
    306.84/459.90 = 144.30/x
  3. Step 3: Cross multiply
    306.84x = 459.90 × 144.30
  4. Step 4: Simplify right side
    306.84x = 66,363.57
  5. Step 5: Solve for x
    x = 66,363.57/306.84
  6. Step 6: Final answer
    x = 216.28

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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.