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Finding the Fourth Proportional to 202.17, 278.97 and 113.64

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Solution

The fourth proportional to 202.17, 278.97 and 113.64 is: 156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.17 : 278.97 = 113.64 : x
  2. Step 2: Convert to fraction form
    202.17/278.97 = 113.64/x
  3. Step 3: Cross multiply
    202.17x = 278.97 × 113.64
  4. Step 4: Simplify right side
    202.17x = 31,702.15
  5. Step 5: Solve for x
    x = 31,702.15/202.17
  6. Step 6: Final answer
    x = 156.81

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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.