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Finding the Fourth Proportional to 176.37, 264.47 and 103.27

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Solution

The fourth proportional to 176.37, 264.47 and 103.27 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.37 : 264.47 = 103.27 : x
  2. Step 2: Convert to fraction form
    176.37/264.47 = 103.27/x
  3. Step 3: Cross multiply
    176.37x = 264.47 × 103.27
  4. Step 4: Simplify right side
    176.37x = 27,310.64
  5. Step 5: Solve for x
    x = 27,310.64/176.37
  6. Step 6: Final answer
    x = 154.85

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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.