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Finding the Fourth Proportional to 224.53, 308.14 and 218.72

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Solution

The fourth proportional to 224.53, 308.14 and 218.72 is: 300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.53 : 308.14 = 218.72 : x
  2. Step 2: Convert to fraction form
    224.53/308.14 = 218.72/x
  3. Step 3: Cross multiply
    224.53x = 308.14 × 218.72
  4. Step 4: Simplify right side
    224.53x = 67,395.06
  5. Step 5: Solve for x
    x = 67,395.06/224.53
  6. Step 6: Final answer
    x = 300.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.