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Finding the Fourth Proportional to 176.97, 265.49 and 85.77

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Solution

The fourth proportional to 176.97, 265.49 and 85.77 is: 128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.97 : 265.49 = 85.77 : x
  2. Step 2: Convert to fraction form
    176.97/265.49 = 85.77/x
  3. Step 3: Cross multiply
    176.97x = 265.49 × 85.77
  4. Step 4: Simplify right side
    176.97x = 22,770.65
  5. Step 5: Solve for x
    x = 22,770.65/176.97
  6. Step 6: Final answer
    x = 128.67

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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.