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Finding the Fourth Proportional to 252.77, 349.18 and 200.66

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Solution

The fourth proportional to 252.77, 349.18 and 200.66 is: 277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.77 : 349.18 = 200.66 : x
  2. Step 2: Convert to fraction form
    252.77/349.18 = 200.66/x
  3. Step 3: Cross multiply
    252.77x = 349.18 × 200.66
  4. Step 4: Simplify right side
    252.77x = 70,064.21
  5. Step 5: Solve for x
    x = 70,064.21/252.77
  6. Step 6: Final answer
    x = 277.19

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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.