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Finding the Fourth Proportional to 295.90, 443.82 and 133.58

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Solution

The fourth proportional to 295.90, 443.82 and 133.58 is: 200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.90 : 443.82 = 133.58 : x
  2. Step 2: Convert to fraction form
    295.90/443.82 = 133.58/x
  3. Step 3: Cross multiply
    295.90x = 443.82 × 133.58
  4. Step 4: Simplify right side
    295.90x = 59,285.48
  5. Step 5: Solve for x
    x = 59,285.48/295.90
  6. Step 6: Final answer
    x = 200.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.