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Finding the Fourth Proportional to 294, 441.08 and 149.80

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Solution

The fourth proportional to 294, 441.08 and 149.80 is: 224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 441.08 = 149.80 : x
  2. Step 2: Convert to fraction form
    294/441.08 = 149.80/x
  3. Step 3: Cross multiply
    294x = 441.08 × 149.80
  4. Step 4: Simplify right side
    294x = 66,073.78
  5. Step 5: Solve for x
    x = 66,073.78/294
  6. Step 6: Final answer
    x = 224.74

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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.