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Finding the Fourth Proportional to 295.98, 443.94 and 133.74

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Solution

The fourth proportional to 295.98, 443.94 and 133.74 is: 200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.98 : 443.94 = 133.74 : x
  2. Step 2: Convert to fraction form
    295.98/443.94 = 133.74/x
  3. Step 3: Cross multiply
    295.98x = 443.94 × 133.74
  4. Step 4: Simplify right side
    295.98x = 59,372.54
  5. Step 5: Solve for x
    x = 59,372.54/295.98
  6. Step 6: Final answer
    x = 200.60

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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.