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Finding the Fourth Proportional to 202.41, 279.31 and 115.06

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Solution

The fourth proportional to 202.41, 279.31 and 115.06 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.41 : 279.31 = 115.06 : x
  2. Step 2: Convert to fraction form
    202.41/279.31 = 115.06/x
  3. Step 3: Cross multiply
    202.41x = 279.31 × 115.06
  4. Step 4: Simplify right side
    202.41x = 32,137.41
  5. Step 5: Solve for x
    x = 32,137.41/202.41
  6. Step 6: Final answer
    x = 158.77

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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.