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Finding the Fourth Proportional to 306.56, 459.24 and 144.02

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Solution

The fourth proportional to 306.56, 459.24 and 144.02 is: 215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 459.24 = 144.02 : x
  2. Step 2: Convert to fraction form
    306.56/459.24 = 144.02/x
  3. Step 3: Cross multiply
    306.56x = 459.24 × 144.02
  4. Step 4: Simplify right side
    306.56x = 66,139.74
  5. Step 5: Solve for x
    x = 66,139.74/306.56
  6. Step 6: Final answer
    x = 215.75

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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.