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Finding the Fourth Proportional to 534.68, 801.96 and 187.94

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Solution

The fourth proportional to 534.68, 801.96 and 187.94 is: 281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.68 : 801.96 = 187.94 : x
  2. Step 2: Convert to fraction form
    534.68/801.96 = 187.94/x
  3. Step 3: Cross multiply
    534.68x = 801.96 × 187.94
  4. Step 4: Simplify right side
    534.68x = 150,720.36
  5. Step 5: Solve for x
    x = 150,720.36/534.68
  6. Step 6: Final answer
    x = 281.89

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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.