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Finding the Fourth Proportional to 309.88, 464.82 and 201.88

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Solution

The fourth proportional to 309.88, 464.82 and 201.88 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 464.82 = 201.88 : x
  2. Step 2: Convert to fraction form
    309.88/464.82 = 201.88/x
  3. Step 3: Cross multiply
    309.88x = 464.82 × 201.88
  4. Step 4: Simplify right side
    309.88x = 93,837.86
  5. Step 5: Solve for x
    x = 93,837.86/309.88
  6. Step 6: Final answer
    x = 302.82

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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.