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Finding the Fourth Proportional to 294.57, 441.86 and 150.21

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Solution

The fourth proportional to 294.57, 441.86 and 150.21 is: 225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.57 : 441.86 = 150.21 : x
  2. Step 2: Convert to fraction form
    294.57/441.86 = 150.21/x
  3. Step 3: Cross multiply
    294.57x = 441.86 × 150.21
  4. Step 4: Simplify right side
    294.57x = 66,371.04
  5. Step 5: Solve for x
    x = 66,371.04/294.57
  6. Step 6: Final answer
    x = 225.32

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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.