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Finding the Fourth Proportional to 122.25, 182.50 and 117.98

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Solution

The fourth proportional to 122.25, 182.50 and 117.98 is: 176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.25 : 182.50 = 117.98 : x
  2. Step 2: Convert to fraction form
    122.25/182.50 = 117.98/x
  3. Step 3: Cross multiply
    122.25x = 182.50 × 117.98
  4. Step 4: Simplify right side
    122.25x = 21,529.85
  5. Step 5: Solve for x
    x = 21,529.85/122.25
  6. Step 6: Final answer
    x = 176.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.