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Finding the Fourth Proportional to 176.92, 265.44 and 99.82

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Solution

The fourth proportional to 176.92, 265.44 and 99.82 is: 149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.92 : 265.44 = 99.82 : x
  2. Step 2: Convert to fraction form
    176.92/265.44 = 99.82/x
  3. Step 3: Cross multiply
    176.92x = 265.44 × 99.82
  4. Step 4: Simplify right side
    176.92x = 26,496.22
  5. Step 5: Solve for x
    x = 26,496.22/176.92
  6. Step 6: Final answer
    x = 149.76

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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.