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Finding the Fourth Proportional to 294.32, 441.27 and 150.14

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Solution

The fourth proportional to 294.32, 441.27 and 150.14 is: 225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.32 : 441.27 = 150.14 : x
  2. Step 2: Convert to fraction form
    294.32/441.27 = 150.14/x
  3. Step 3: Cross multiply
    294.32x = 441.27 × 150.14
  4. Step 4: Simplify right side
    294.32x = 66,252.28
  5. Step 5: Solve for x
    x = 66,252.28/294.32
  6. Step 6: Final answer
    x = 225.10

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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.