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Finding the Fourth Proportional to 176.54, 264.56 and 95.27

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Solution

The fourth proportional to 176.54, 264.56 and 95.27 is: 142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.54 : 264.56 = 95.27 : x
  2. Step 2: Convert to fraction form
    176.54/264.56 = 95.27/x
  3. Step 3: Cross multiply
    176.54x = 264.56 × 95.27
  4. Step 4: Simplify right side
    176.54x = 25,202.83
  5. Step 5: Solve for x
    x = 25,202.83/176.54
  6. Step 6: Final answer
    x = 142.76

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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.