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Finding the Fourth Proportional to 201.72, 278.55 and 157.98

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Solution

The fourth proportional to 201.72, 278.55 and 157.98 is: 218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 278.55 = 157.98 : x
  2. Step 2: Convert to fraction form
    201.72/278.55 = 157.98/x
  3. Step 3: Cross multiply
    201.72x = 278.55 × 157.98
  4. Step 4: Simplify right side
    201.72x = 44,005.33
  5. Step 5: Solve for x
    x = 44,005.33/201.72
  6. Step 6: Final answer
    x = 218.15

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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.