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Finding the Fourth Proportional to 663.51, 995.27 and 176.54

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Solution

The fourth proportional to 663.51, 995.27 and 176.54 is: 264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.51 : 995.27 = 176.54 : x
  2. Step 2: Convert to fraction form
    663.51/995.27 = 176.54/x
  3. Step 3: Cross multiply
    663.51x = 995.27 × 176.54
  4. Step 4: Simplify right side
    663.51x = 175,706.57
  5. Step 5: Solve for x
    x = 175,706.57/663.51
  6. Step 6: Final answer
    x = 264.81

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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.