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Finding the Fourth Proportional to 176.45, 264.71 and 89.83

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Solution

The fourth proportional to 176.45, 264.71 and 89.83 is: 134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.45 : 264.71 = 89.83 : x
  2. Step 2: Convert to fraction form
    176.45/264.71 = 89.83/x
  3. Step 3: Cross multiply
    176.45x = 264.71 × 89.83
  4. Step 4: Simplify right side
    176.45x = 23,778.90
  5. Step 5: Solve for x
    x = 23,778.90/176.45
  6. Step 6: Final answer
    x = 134.76

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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.