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Finding the Fourth Proportional to 201.76, 278.49 and 174.02

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Solution

The fourth proportional to 201.76, 278.49 and 174.02 is: 240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.76 : 278.49 = 174.02 : x
  2. Step 2: Convert to fraction form
    201.76/278.49 = 174.02/x
  3. Step 3: Cross multiply
    201.76x = 278.49 × 174.02
  4. Step 4: Simplify right side
    201.76x = 48,462.83
  5. Step 5: Solve for x
    x = 48,462.83/201.76
  6. Step 6: Final answer
    x = 240.20

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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.