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Finding the Fourth Proportional to 301.31, 415.93 and 202.88

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Solution

The fourth proportional to 301.31, 415.93 and 202.88 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.31 : 415.93 = 202.88 : x
  2. Step 2: Convert to fraction form
    301.31/415.93 = 202.88/x
  3. Step 3: Cross multiply
    301.31x = 415.93 × 202.88
  4. Step 4: Simplify right side
    301.31x = 84,381.80
  5. Step 5: Solve for x
    x = 84,381.80/301.31
  6. Step 6: Final answer
    x = 280.05

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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.