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Finding the Fourth Proportional to 201.50, 277.74 and 173.72

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Solution

The fourth proportional to 201.50, 277.74 and 173.72 is: 239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.50 : 277.74 = 173.72 : x
  2. Step 2: Convert to fraction form
    201.50/277.74 = 173.72/x
  3. Step 3: Cross multiply
    201.50x = 277.74 × 173.72
  4. Step 4: Simplify right side
    201.50x = 48,248.99
  5. Step 5: Solve for x
    x = 48,248.99/201.50
  6. Step 6: Final answer
    x = 239.45

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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.