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Finding the Fourth Proportional to 201.52, 277.82 and 162.64

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Solution

The fourth proportional to 201.52, 277.82 and 162.64 is: 224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.52 : 277.82 = 162.64 : x
  2. Step 2: Convert to fraction form
    201.52/277.82 = 162.64/x
  3. Step 3: Cross multiply
    201.52x = 277.82 × 162.64
  4. Step 4: Simplify right side
    201.52x = 45,184.64
  5. Step 5: Solve for x
    x = 45,184.64/201.52
  6. Step 6: Final answer
    x = 224.22

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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.