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Finding the Fourth Proportional to 291.06, 401.85 and 202.51

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Solution

The fourth proportional to 291.06, 401.85 and 202.51 is: 279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 401.85 = 202.51 : x
  2. Step 2: Convert to fraction form
    291.06/401.85 = 202.51/x
  3. Step 3: Cross multiply
    291.06x = 401.85 × 202.51
  4. Step 4: Simplify right side
    291.06x = 81,375.62
  5. Step 5: Solve for x
    x = 81,375.62/291.06
  6. Step 6: Final answer
    x = 279.59

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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.