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Finding the Fourth Proportional to 224.66, 309.71 and 183.14

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Solution

The fourth proportional to 224.66, 309.71 and 183.14 is: 252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.66 : 309.71 = 183.14 : x
  2. Step 2: Convert to fraction form
    224.66/309.71 = 183.14/x
  3. Step 3: Cross multiply
    224.66x = 309.71 × 183.14
  4. Step 4: Simplify right side
    224.66x = 56,717.83
  5. Step 5: Solve for x
    x = 56,717.83/224.66
  6. Step 6: Final answer
    x = 252.47

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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.