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Finding the Fourth Proportional to 202.64, 279.68 and 114.14

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Solution

The fourth proportional to 202.64, 279.68 and 114.14 is: 157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.64 : 279.68 = 114.14 : x
  2. Step 2: Convert to fraction form
    202.64/279.68 = 114.14/x
  3. Step 3: Cross multiply
    202.64x = 279.68 × 114.14
  4. Step 4: Simplify right side
    202.64x = 31,922.80
  5. Step 5: Solve for x
    x = 31,922.80/202.64
  6. Step 6: Final answer
    x = 157.54

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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.