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Finding the Fourth Proportional to 663.01, 994.44 and 176.11

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Solution

The fourth proportional to 663.01, 994.44 and 176.11 is: 264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.01 : 994.44 = 176.11 : x
  2. Step 2: Convert to fraction form
    663.01/994.44 = 176.11/x
  3. Step 3: Cross multiply
    663.01x = 994.44 × 176.11
  4. Step 4: Simplify right side
    663.01x = 175,125.86
  5. Step 5: Solve for x
    x = 175,125.86/663.01
  6. Step 6: Final answer
    x = 264.14

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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.