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Finding the Fourth Proportional to 301.45, 415.74 and 203.20

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Solution

The fourth proportional to 301.45, 415.74 and 203.20 is: 280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.45 : 415.74 = 203.20 : x
  2. Step 2: Convert to fraction form
    301.45/415.74 = 203.20/x
  3. Step 3: Cross multiply
    301.45x = 415.74 × 203.20
  4. Step 4: Simplify right side
    301.45x = 84,478.37
  5. Step 5: Solve for x
    x = 84,478.37/301.45
  6. Step 6: Final answer
    x = 280.24

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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.