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Finding the Fourth Proportional to 663.78, 995.64 and 176.82

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Solution

The fourth proportional to 663.78, 995.64 and 176.82 is: 265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.78 : 995.64 = 176.82 : x
  2. Step 2: Convert to fraction form
    663.78/995.64 = 176.82/x
  3. Step 3: Cross multiply
    663.78x = 995.64 × 176.82
  4. Step 4: Simplify right side
    663.78x = 176,049.06
  5. Step 5: Solve for x
    x = 176,049.06/663.78
  6. Step 6: Final answer
    x = 265.22

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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.