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Finding the Fourth Proportional to 265.33, 366.42 and 199.72

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Solution

The fourth proportional to 265.33, 366.42 and 199.72 is: 275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.33 : 366.42 = 199.72 : x
  2. Step 2: Convert to fraction form
    265.33/366.42 = 199.72/x
  3. Step 3: Cross multiply
    265.33x = 366.42 × 199.72
  4. Step 4: Simplify right side
    265.33x = 73,181.40
  5. Step 5: Solve for x
    x = 73,181.40/265.33
  6. Step 6: Final answer
    x = 275.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.