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Finding the Fourth Proportional to 294.82, 442.24 and 150.46

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Solution

The fourth proportional to 294.82, 442.24 and 150.46 is: 225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.82 : 442.24 = 150.46 : x
  2. Step 2: Convert to fraction form
    294.82/442.24 = 150.46/x
  3. Step 3: Cross multiply
    294.82x = 442.24 × 150.46
  4. Step 4: Simplify right side
    294.82x = 66,539.43
  5. Step 5: Solve for x
    x = 66,539.43/294.82
  6. Step 6: Final answer
    x = 225.70

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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.