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Finding the Fourth Proportional to 663.41, 995.11 and 176.46

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Solution

The fourth proportional to 663.41, 995.11 and 176.46 is: 264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.41 : 995.11 = 176.46 : x
  2. Step 2: Convert to fraction form
    663.41/995.11 = 176.46/x
  3. Step 3: Cross multiply
    663.41x = 995.11 × 176.46
  4. Step 4: Simplify right side
    663.41x = 175,597.05
  5. Step 5: Solve for x
    x = 175,597.05/663.41
  6. Step 6: Final answer
    x = 264.69

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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.