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Finding the Fourth Proportional to 176.45, 264.27 and 137.87

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Solution

The fourth proportional to 176.45, 264.27 and 137.87 is: 206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.45 : 264.27 = 137.87 : x
  2. Step 2: Convert to fraction form
    176.45/264.27 = 137.87/x
  3. Step 3: Cross multiply
    176.45x = 264.27 × 137.87
  4. Step 4: Simplify right side
    176.45x = 36,434.90
  5. Step 5: Solve for x
    x = 36,434.90/176.45
  6. Step 6: Final answer
    x = 206.49

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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.