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Finding the Fourth Proportional to 202.58, 279.58 and 115.25

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Solution

The fourth proportional to 202.58, 279.58 and 115.25 is: 159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.58 : 279.58 = 115.25 : x
  2. Step 2: Convert to fraction form
    202.58/279.58 = 115.25/x
  3. Step 3: Cross multiply
    202.58x = 279.58 × 115.25
  4. Step 4: Simplify right side
    202.58x = 32,221.60
  5. Step 5: Solve for x
    x = 32,221.60/202.58
  6. Step 6: Final answer
    x = 159.06

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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.