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Finding the Fourth Proportional to 228.06, 314.01 and 201.44

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Solution

The fourth proportional to 228.06, 314.01 and 201.44 is: 277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.06 : 314.01 = 201.44 : x
  2. Step 2: Convert to fraction form
    228.06/314.01 = 201.44/x
  3. Step 3: Cross multiply
    228.06x = 314.01 × 201.44
  4. Step 4: Simplify right side
    228.06x = 63,254.96
  5. Step 5: Solve for x
    x = 63,254.96/228.06
  6. Step 6: Final answer
    x = 277.36

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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.