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Finding the Fourth Proportional to 301.42, 416.30 and 203

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Solution

The fourth proportional to 301.42, 416.30 and 203 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.42 : 416.30 = 203 : x
  2. Step 2: Convert to fraction form
    301.42/416.30 = 203/x
  3. Step 3: Cross multiply
    301.42x = 416.30 × 203
  4. Step 4: Simplify right side
    301.42x = 84,507.89
  5. Step 5: Solve for x
    x = 84,507.89/301.42
  6. Step 6: Final answer
    x = 280.37

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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.