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Finding the Fourth Proportional to 309.54, 464.61 and 194.04

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Solution

The fourth proportional to 309.54, 464.61 and 194.04 is: 291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.54 : 464.61 = 194.04 : x
  2. Step 2: Convert to fraction form
    309.54/464.61 = 194.04/x
  3. Step 3: Cross multiply
    309.54x = 464.61 × 194.04
  4. Step 4: Simplify right side
    309.54x = 90,152.92
  5. Step 5: Solve for x
    x = 90,152.92/309.54
  6. Step 6: Final answer
    x = 291.25

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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.