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Finding the Fourth Proportional to 291.23, 402.05 and 202.85

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Solution

The fourth proportional to 291.23, 402.05 and 202.85 is: 280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.23 : 402.05 = 202.85 : x
  2. Step 2: Convert to fraction form
    291.23/402.05 = 202.85/x
  3. Step 3: Cross multiply
    291.23x = 402.05 × 202.85
  4. Step 4: Simplify right side
    291.23x = 81,554.34
  5. Step 5: Solve for x
    x = 81,554.34/291.23
  6. Step 6: Final answer
    x = 280.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.