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Finding the Fourth Proportional to 202.82, 279.93 and 115.49

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Solution

The fourth proportional to 202.82, 279.93 and 115.49 is: 159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 279.93 = 115.49 : x
  2. Step 2: Convert to fraction form
    202.82/279.93 = 115.49/x
  3. Step 3: Cross multiply
    202.82x = 279.93 × 115.49
  4. Step 4: Simplify right side
    202.82x = 32,329.12
  5. Step 5: Solve for x
    x = 32,329.12/202.82
  6. Step 6: Final answer
    x = 159.40

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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.