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Finding the Fourth Proportional to 202.56, 279.47 and 123.81

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Solution

The fourth proportional to 202.56, 279.47 and 123.81 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.56 : 279.47 = 123.81 : x
  2. Step 2: Convert to fraction form
    202.56/279.47 = 123.81/x
  3. Step 3: Cross multiply
    202.56x = 279.47 × 123.81
  4. Step 4: Simplify right side
    202.56x = 34,600.56
  5. Step 5: Solve for x
    x = 34,600.56/202.56
  6. Step 6: Final answer
    x = 170.82

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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.