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Finding the Fourth Proportional to 264.51, 395.62 and 199.81

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Solution

The fourth proportional to 264.51, 395.62 and 199.81 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.51 : 395.62 = 199.81 : x
  2. Step 2: Convert to fraction form
    264.51/395.62 = 199.81/x
  3. Step 3: Cross multiply
    264.51x = 395.62 × 199.81
  4. Step 4: Simplify right side
    264.51x = 79,048.83
  5. Step 5: Solve for x
    x = 79,048.83/264.51
  6. Step 6: Final answer
    x = 298.85

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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.