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Finding the Fourth Proportional to 663.71, 995.67 and 176.80

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Solution

The fourth proportional to 663.71, 995.67 and 176.80 is: 265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.71 : 995.67 = 176.80 : x
  2. Step 2: Convert to fraction form
    663.71/995.67 = 176.80/x
  3. Step 3: Cross multiply
    663.71x = 995.67 × 176.80
  4. Step 4: Simplify right side
    663.71x = 176,034.46
  5. Step 5: Solve for x
    x = 176,034.46/663.71
  6. Step 6: Final answer
    x = 265.23

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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.