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Finding the Fourth Proportional to 663.18, 994.72 and 176.22

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Solution

The fourth proportional to 663.18, 994.72 and 176.22 is: 264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.18 : 994.72 = 176.22 : x
  2. Step 2: Convert to fraction form
    663.18/994.72 = 176.22/x
  3. Step 3: Cross multiply
    663.18x = 994.72 × 176.22
  4. Step 4: Simplify right side
    663.18x = 175,289.56
  5. Step 5: Solve for x
    x = 175,289.56/663.18
  6. Step 6: Final answer
    x = 264.32

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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.