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Finding the Fourth Proportional to 224.06, 309.95 and 209.38

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Solution

The fourth proportional to 224.06, 309.95 and 209.38 is: 289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.06 : 309.95 = 209.38 : x
  2. Step 2: Convert to fraction form
    224.06/309.95 = 209.38/x
  3. Step 3: Cross multiply
    224.06x = 309.95 × 209.38
  4. Step 4: Simplify right side
    224.06x = 64,897.08
  5. Step 5: Solve for x
    x = 64,897.08/224.06
  6. Step 6: Final answer
    x = 289.65

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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.