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Finding the Fourth Proportional to 224.54, 338.36 and 184.86

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Solution

The fourth proportional to 224.54, 338.36 and 184.86 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.54 : 338.36 = 184.86 : x
  2. Step 2: Convert to fraction form
    224.54/338.36 = 184.86/x
  3. Step 3: Cross multiply
    224.54x = 338.36 × 184.86
  4. Step 4: Simplify right side
    224.54x = 62,549.23
  5. Step 5: Solve for x
    x = 62,549.23/224.54
  6. Step 6: Final answer
    x = 278.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.