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Finding the Fourth Proportional to 201.24, 277.86 and 139.08

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Solution

The fourth proportional to 201.24, 277.86 and 139.08 is: 192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 277.86 = 139.08 : x
  2. Step 2: Convert to fraction form
    201.24/277.86 = 139.08/x
  3. Step 3: Cross multiply
    201.24x = 277.86 × 139.08
  4. Step 4: Simplify right side
    201.24x = 38,644.77
  5. Step 5: Solve for x
    x = 38,644.77/201.24
  6. Step 6: Final answer
    x = 192.03

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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.