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Finding the Fourth Proportional to 176.19, 263.94 and 84.77

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Solution

The fourth proportional to 176.19, 263.94 and 84.77 is: 126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.19 : 263.94 = 84.77 : x
  2. Step 2: Convert to fraction form
    176.19/263.94 = 84.77/x
  3. Step 3: Cross multiply
    176.19x = 263.94 × 84.77
  4. Step 4: Simplify right side
    176.19x = 22,372.87
  5. Step 5: Solve for x
    x = 22,372.87/176.19
  6. Step 6: Final answer
    x = 126.98

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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.