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Finding the Fourth Proportional to 202.10, 278.78 and 123.36

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Solution

The fourth proportional to 202.10, 278.78 and 123.36 is: 170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.10 : 278.78 = 123.36 : x
  2. Step 2: Convert to fraction form
    202.10/278.78 = 123.36/x
  3. Step 3: Cross multiply
    202.10x = 278.78 × 123.36
  4. Step 4: Simplify right side
    202.10x = 34,389.68
  5. Step 5: Solve for x
    x = 34,389.68/202.10
  6. Step 6: Final answer
    x = 170.17

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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.