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Finding the Fourth Proportional to 202.79, 279.84 and 114.27

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Solution

The fourth proportional to 202.79, 279.84 and 114.27 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.79 : 279.84 = 114.27 : x
  2. Step 2: Convert to fraction form
    202.79/279.84 = 114.27/x
  3. Step 3: Cross multiply
    202.79x = 279.84 × 114.27
  4. Step 4: Simplify right side
    202.79x = 31,977.32
  5. Step 5: Solve for x
    x = 31,977.32/202.79
  6. Step 6: Final answer
    x = 157.69

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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.