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Finding the Fourth Proportional to 183, 274.18 and 139.77

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Solution

The fourth proportional to 183, 274.18 and 139.77 is: 209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183 : 274.18 = 139.77 : x
  2. Step 2: Convert to fraction form
    183/274.18 = 139.77/x
  3. Step 3: Cross multiply
    183x = 274.18 × 139.77
  4. Step 4: Simplify right side
    183x = 38,322.14
  5. Step 5: Solve for x
    x = 38,322.14/183
  6. Step 6: Final answer
    x = 209.41

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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.