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Finding the Fourth Proportional to 293.84, 441.02 and 153.22

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Solution

The fourth proportional to 293.84, 441.02 and 153.22 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.84 : 441.02 = 153.22 : x
  2. Step 2: Convert to fraction form
    293.84/441.02 = 153.22/x
  3. Step 3: Cross multiply
    293.84x = 441.02 × 153.22
  4. Step 4: Simplify right side
    293.84x = 67,571.52
  5. Step 5: Solve for x
    x = 67,571.52/293.84
  6. Step 6: Final answer
    x = 229.96

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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.