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Finding the Fourth Proportional to 202.60, 279.57 and 114.09

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Solution

The fourth proportional to 202.60, 279.57 and 114.09 is: 157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.60 : 279.57 = 114.09 : x
  2. Step 2: Convert to fraction form
    202.60/279.57 = 114.09/x
  3. Step 3: Cross multiply
    202.60x = 279.57 × 114.09
  4. Step 4: Simplify right side
    202.60x = 31,895.52
  5. Step 5: Solve for x
    x = 31,895.52/202.60
  6. Step 6: Final answer
    x = 157.43

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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.