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Finding the Fourth Proportional to 537.14, 805.78 and 203.71

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Solution

The fourth proportional to 537.14, 805.78 and 203.71 is: 305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.14 : 805.78 = 203.71 : x
  2. Step 2: Convert to fraction form
    537.14/805.78 = 203.71/x
  3. Step 3: Cross multiply
    537.14x = 805.78 × 203.71
  4. Step 4: Simplify right side
    537.14x = 164,142.69
  5. Step 5: Solve for x
    x = 164,142.69/537.14
  6. Step 6: Final answer
    x = 305.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.