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Finding the Fourth Proportional to 202.40, 279.31 and 113.89

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Solution

The fourth proportional to 202.40, 279.31 and 113.89 is: 157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 279.31 = 113.89 : x
  2. Step 2: Convert to fraction form
    202.40/279.31 = 113.89/x
  3. Step 3: Cross multiply
    202.40x = 279.31 × 113.89
  4. Step 4: Simplify right side
    202.40x = 31,809.14
  5. Step 5: Solve for x
    x = 31,809.14/202.40
  6. Step 6: Final answer
    x = 157.16

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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.