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Finding the Fourth Proportional to 201.95, 278.62 and 123.24

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Solution

The fourth proportional to 201.95, 278.62 and 123.24 is: 170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.95 : 278.62 = 123.24 : x
  2. Step 2: Convert to fraction form
    201.95/278.62 = 123.24/x
  3. Step 3: Cross multiply
    201.95x = 278.62 × 123.24
  4. Step 4: Simplify right side
    201.95x = 34,337.13
  5. Step 5: Solve for x
    x = 34,337.13/201.95
  6. Step 6: Final answer
    x = 170.03

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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.