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Finding the Fourth Proportional to 295.78, 443.70 and 133.54

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Solution

The fourth proportional to 295.78, 443.70 and 133.54 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.78 : 443.70 = 133.54 : x
  2. Step 2: Convert to fraction form
    295.78/443.70 = 133.54/x
  3. Step 3: Cross multiply
    295.78x = 443.70 × 133.54
  4. Step 4: Simplify right side
    295.78x = 59,251.70
  5. Step 5: Solve for x
    x = 59,251.70/295.78
  6. Step 6: Final answer
    x = 200.32

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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.