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Finding the Fourth Proportional to 663.14, 994.80 and 176.20

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Solution

The fourth proportional to 663.14, 994.80 and 176.20 is: 264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.14 : 994.80 = 176.20 : x
  2. Step 2: Convert to fraction form
    663.14/994.80 = 176.20/x
  3. Step 3: Cross multiply
    663.14x = 994.80 × 176.20
  4. Step 4: Simplify right side
    663.14x = 175,283.76
  5. Step 5: Solve for x
    x = 175,283.76/663.14
  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.