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Finding the Fourth Proportional to 202.31, 279.19 and 115.00

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Solution

The fourth proportional to 202.31, 279.19 and 115.00 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.31 : 279.19 = 115.00 : x
  2. Step 2: Convert to fraction form
    202.31/279.19 = 115.00/x
  3. Step 3: Cross multiply
    202.31x = 279.19 × 115.00
  4. Step 4: Simplify right side
    202.31x = 32,107.34
  5. Step 5: Solve for x
    x = 32,107.34/202.31
  6. Step 6: Final answer
    x = 158.70

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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.