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Finding the Fourth Proportional to 663.70, 995.47 and 176.79

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Solution

The fourth proportional to 663.70, 995.47 and 176.79 is: 265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.70 : 995.47 = 176.79 : x
  2. Step 2: Convert to fraction form
    663.70/995.47 = 176.79/x
  3. Step 3: Cross multiply
    663.70x = 995.47 × 176.79
  4. Step 4: Simplify right side
    663.70x = 175,984.16
  5. Step 5: Solve for x
    x = 175,984.16/663.70
  6. Step 6: Final answer
    x = 265.16

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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.