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Finding the Fourth Proportional to 369.20, 509.53 and 203.42

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Solution

The fourth proportional to 369.20, 509.53 and 203.42 is: 280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.20 : 509.53 = 203.42 : x
  2. Step 2: Convert to fraction form
    369.20/509.53 = 203.42/x
  3. Step 3: Cross multiply
    369.20x = 509.53 × 203.42
  4. Step 4: Simplify right side
    369.20x = 103,648.59
  5. Step 5: Solve for x
    x = 103,648.59/369.20
  6. Step 6: Final answer
    x = 280.74

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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.