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Finding the Fourth Proportional to 301.90, 416.61 and 203.50

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Solution

The fourth proportional to 301.90, 416.61 and 203.50 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.90 : 416.61 = 203.50 : x
  2. Step 2: Convert to fraction form
    301.90/416.61 = 203.50/x
  3. Step 3: Cross multiply
    301.90x = 416.61 × 203.50
  4. Step 4: Simplify right side
    301.90x = 84,780.14
  5. Step 5: Solve for x
    x = 84,780.14/301.90
  6. Step 6: Final answer
    x = 280.82

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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.