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Finding the Fourth Proportional to 309.84, 464.91 and 194.05

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Solution

The fourth proportional to 309.84, 464.91 and 194.05 is: 291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 464.91 = 194.05 : x
  2. Step 2: Convert to fraction form
    309.84/464.91 = 194.05/x
  3. Step 3: Cross multiply
    309.84x = 464.91 × 194.05
  4. Step 4: Simplify right side
    309.84x = 90,215.79
  5. Step 5: Solve for x
    x = 90,215.79/309.84
  6. Step 6: Final answer
    x = 291.17

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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.