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Finding the Fourth Proportional to 306.24, 459.27 and 198.06

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Solution

The fourth proportional to 306.24, 459.27 and 198.06 is: 297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.24 : 459.27 = 198.06 : x
  2. Step 2: Convert to fraction form
    306.24/459.27 = 198.06/x
  3. Step 3: Cross multiply
    306.24x = 459.27 × 198.06
  4. Step 4: Simplify right side
    306.24x = 90,963.02
  5. Step 5: Solve for x
    x = 90,963.02/306.24
  6. Step 6: Final answer
    x = 297.03

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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.