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Finding the Fourth Proportional to 631.20, 946.83 and 169.02

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Solution

The fourth proportional to 631.20, 946.83 and 169.02 is: 253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.20 : 946.83 = 169.02 : x
  2. Step 2: Convert to fraction form
    631.20/946.83 = 169.02/x
  3. Step 3: Cross multiply
    631.20x = 946.83 × 169.02
  4. Step 4: Simplify right side
    631.20x = 160,033.21
  5. Step 5: Solve for x
    x = 160,033.21/631.20
  6. Step 6: Final answer
    x = 253.54

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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.