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Finding the Fourth Proportional to 663.16, 994.74 and 176.23

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Solution

The fourth proportional to 663.16, 994.74 and 176.23 is: 264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.16 : 994.74 = 176.23 : x
  2. Step 2: Convert to fraction form
    663.16/994.74 = 176.23/x
  3. Step 3: Cross multiply
    663.16x = 994.74 × 176.23
  4. Step 4: Simplify right side
    663.16x = 175,303.03
  5. Step 5: Solve for x
    x = 175,303.03/663.16
  6. Step 6: Final answer
    x = 264.35

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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.