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Finding the Fourth Proportional to 202.06, 278.94 and 135.68

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Solution

The fourth proportional to 202.06, 278.94 and 135.68 is: 187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.06 : 278.94 = 135.68 : x
  2. Step 2: Convert to fraction form
    202.06/278.94 = 135.68/x
  3. Step 3: Cross multiply
    202.06x = 278.94 × 135.68
  4. Step 4: Simplify right side
    202.06x = 37,846.58
  5. Step 5: Solve for x
    x = 37,846.58/202.06
  6. Step 6: Final answer
    x = 187.30

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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.