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Finding the Fourth Proportional to 295.37, 443.12 and 133.16

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Solution

The fourth proportional to 295.37, 443.12 and 133.16 is: 199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.37 : 443.12 = 133.16 : x
  2. Step 2: Convert to fraction form
    295.37/443.12 = 133.16/x
  3. Step 3: Cross multiply
    295.37x = 443.12 × 133.16
  4. Step 4: Simplify right side
    295.37x = 59,002.98
  5. Step 5: Solve for x
    x = 59,002.98/295.37
  6. Step 6: Final answer
    x = 199.76

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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.