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Finding the Fourth Proportional to 202.70, 279.74 and 114.19

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Solution

The fourth proportional to 202.70, 279.74 and 114.19 is: 157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.70 : 279.74 = 114.19 : x
  2. Step 2: Convert to fraction form
    202.70/279.74 = 114.19/x
  3. Step 3: Cross multiply
    202.70x = 279.74 × 114.19
  4. Step 4: Simplify right side
    202.70x = 31,943.10
  5. Step 5: Solve for x
    x = 31,943.10/202.70
  6. Step 6: Final answer
    x = 157.59

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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.