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Finding the Fourth Proportional to 306.52, 459.62 and 144.24

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Solution

The fourth proportional to 306.52, 459.62 and 144.24 is: 216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.52 : 459.62 = 144.24 : x
  2. Step 2: Convert to fraction form
    306.52/459.62 = 144.24/x
  3. Step 3: Cross multiply
    306.52x = 459.62 × 144.24
  4. Step 4: Simplify right side
    306.52x = 66,295.59
  5. Step 5: Solve for x
    x = 66,295.59/306.52
  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.