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Finding the Fourth Proportional to 631.17, 946.69 and 169.00

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Solution

The fourth proportional to 631.17, 946.69 and 169.00 is: 253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.17 : 946.69 = 169.00 : x
  2. Step 2: Convert to fraction form
    631.17/946.69 = 169.00/x
  3. Step 3: Cross multiply
    631.17x = 946.69 × 169.00
  4. Step 4: Simplify right side
    631.17x = 159,989.85
  5. Step 5: Solve for x
    x = 159,989.85/631.17
  6. Step 6: Final answer
    x = 253.48

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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.