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Finding the Fourth Proportional to 537.45, 806.16 and 152.70

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Solution

The fourth proportional to 537.45, 806.16 and 152.70 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.45 : 806.16 = 152.70 : x
  2. Step 2: Convert to fraction form
    537.45/806.16 = 152.70/x
  3. Step 3: Cross multiply
    537.45x = 806.16 × 152.70
  4. Step 4: Simplify right side
    537.45x = 123,100.63
  5. Step 5: Solve for x
    x = 123,100.63/537.45
  6. Step 6: Final answer
    x = 229.05

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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.