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Finding the Fourth Proportional to 309.84, 464.56 and 194.24

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Solution

The fourth proportional to 309.84, 464.56 and 194.24 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 464.56 = 194.24 : x
  2. Step 2: Convert to fraction form
    309.84/464.56 = 194.24/x
  3. Step 3: Cross multiply
    309.84x = 464.56 × 194.24
  4. Step 4: Simplify right side
    309.84x = 90,236.13
  5. Step 5: Solve for x
    x = 90,236.13/309.84
  6. Step 6: Final answer
    x = 291.23

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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.