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Finding the Fourth Proportional to 294.69, 441.42 and 138.28

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Solution

The fourth proportional to 294.69, 441.42 and 138.28 is: 207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.69 : 441.42 = 138.28 : x
  2. Step 2: Convert to fraction form
    294.69/441.42 = 138.28/x
  3. Step 3: Cross multiply
    294.69x = 441.42 × 138.28
  4. Step 4: Simplify right side
    294.69x = 61,039.56
  5. Step 5: Solve for x
    x = 61,039.56/294.69
  6. Step 6: Final answer
    x = 207.13

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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.