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Finding the Fourth Proportional to 537.72, 806.46 and 152.88

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Solution

The fourth proportional to 537.72, 806.46 and 152.88 is: 229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.72 : 806.46 = 152.88 : x
  2. Step 2: Convert to fraction form
    537.72/806.46 = 152.88/x
  3. Step 3: Cross multiply
    537.72x = 806.46 × 152.88
  4. Step 4: Simplify right side
    537.72x = 123,291.60
  5. Step 5: Solve for x
    x = 123,291.60/537.72
  6. Step 6: Final answer
    x = 229.29

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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.