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Finding the Fourth Proportional to 305.88, 459.02 and 197.72

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Solution

The fourth proportional to 305.88, 459.02 and 197.72 is: 296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.88 : 459.02 = 197.72 : x
  2. Step 2: Convert to fraction form
    305.88/459.02 = 197.72/x
  3. Step 3: Cross multiply
    305.88x = 459.02 × 197.72
  4. Step 4: Simplify right side
    305.88x = 90,757.43
  5. Step 5: Solve for x
    x = 90,757.43/305.88
  6. Step 6: Final answer
    x = 296.71

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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.