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Finding the Fourth Proportional to 224.86, 309.98 and 193.64

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Solution

The fourth proportional to 224.86, 309.98 and 193.64 is: 266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.86 : 309.98 = 193.64 : x
  2. Step 2: Convert to fraction form
    224.86/309.98 = 193.64/x
  3. Step 3: Cross multiply
    224.86x = 309.98 × 193.64
  4. Step 4: Simplify right side
    224.86x = 60,024.53
  5. Step 5: Solve for x
    x = 60,024.53/224.86
  6. Step 6: Final answer
    x = 266.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.