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Finding the Fourth Proportional to 201.92, 278.65 and 123.26

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Solution

The fourth proportional to 201.92, 278.65 and 123.26 is: 170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 278.65 = 123.26 : x
  2. Step 2: Convert to fraction form
    201.92/278.65 = 123.26/x
  3. Step 3: Cross multiply
    201.92x = 278.65 × 123.26
  4. Step 4: Simplify right side
    201.92x = 34,346.51
  5. Step 5: Solve for x
    x = 34,346.51/201.92
  6. Step 6: Final answer
    x = 170.10

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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.