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Finding the Fourth Proportional to 294.47, 441.09 and 147.76

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Solution

The fourth proportional to 294.47, 441.09 and 147.76 is: 221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 441.09 = 147.76 : x
  2. Step 2: Convert to fraction form
    294.47/441.09 = 147.76/x
  3. Step 3: Cross multiply
    294.47x = 441.09 × 147.76
  4. Step 4: Simplify right side
    294.47x = 65,174.36
  5. Step 5: Solve for x
    x = 65,174.36/294.47
  6. Step 6: Final answer
    x = 221.33

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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.