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Finding the Fourth Proportional to 176.07, 264.16 and 82.27

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Solution

The fourth proportional to 176.07, 264.16 and 82.27 is: 123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.07 : 264.16 = 82.27 : x
  2. Step 2: Convert to fraction form
    176.07/264.16 = 82.27/x
  3. Step 3: Cross multiply
    176.07x = 264.16 × 82.27
  4. Step 4: Simplify right side
    176.07x = 21,731.39
  5. Step 5: Solve for x
    x = 21,731.39/176.07
  6. Step 6: Final answer
    x = 123.42

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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.