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Finding the Fourth Proportional to 176.00, 263.84 and 84.60

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Solution

The fourth proportional to 176.00, 263.84 and 84.60 is: 126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.00 : 263.84 = 84.60 : x
  2. Step 2: Convert to fraction form
    176.00/263.84 = 84.60/x
  3. Step 3: Cross multiply
    176.00x = 263.84 × 84.60
  4. Step 4: Simplify right side
    176.00x = 22,320.44
  5. Step 5: Solve for x
    x = 22,320.44/176.00
  6. Step 6: Final answer
    x = 126.82

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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.