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Finding the Fourth Proportional to 201.38, 277.86 and 114.02

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Solution

The fourth proportional to 201.38, 277.86 and 114.02 is: 157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.38 : 277.86 = 114.02 : x
  2. Step 2: Convert to fraction form
    201.38/277.86 = 114.02/x
  3. Step 3: Cross multiply
    201.38x = 277.86 × 114.02
  4. Step 4: Simplify right side
    201.38x = 31,681.60
  5. Step 5: Solve for x
    x = 31,681.60/201.38
  6. Step 6: Final answer
    x = 157.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.