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Finding the Fourth Proportional to 301.57, 416.05 and 203.17

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Solution

The fourth proportional to 301.57, 416.05 and 203.17 is: 280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.57 : 416.05 = 203.17 : x
  2. Step 2: Convert to fraction form
    301.57/416.05 = 203.17/x
  3. Step 3: Cross multiply
    301.57x = 416.05 × 203.17
  4. Step 4: Simplify right side
    301.57x = 84,528.88
  5. Step 5: Solve for x
    x = 84,528.88/301.57
  6. Step 6: Final answer
    x = 280.30

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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.