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Finding the Fourth Proportional to 224.37, 337.11 and 191.77

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Solution

The fourth proportional to 224.37, 337.11 and 191.77 is: 288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.37 : 337.11 = 191.77 : x
  2. Step 2: Convert to fraction form
    224.37/337.11 = 191.77/x
  3. Step 3: Cross multiply
    224.37x = 337.11 × 191.77
  4. Step 4: Simplify right side
    224.37x = 64,647.58
  5. Step 5: Solve for x
    x = 64,647.58/224.37
  6. Step 6: Final answer
    x = 288.13

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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.