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Finding the Fourth Proportional to 293.84, 441.16 and 185.28

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Solution

The fourth proportional to 293.84, 441.16 and 185.28 is: 278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.84 : 441.16 = 185.28 : x
  2. Step 2: Convert to fraction form
    293.84/441.16 = 185.28/x
  3. Step 3: Cross multiply
    293.84x = 441.16 × 185.28
  4. Step 4: Simplify right side
    293.84x = 81,738.12
  5. Step 5: Solve for x
    x = 81,738.12/293.84
  6. Step 6: Final answer
    x = 278.17

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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.