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Finding the Fourth Proportional to 224.81, 310.09 and 158.30

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Solution

The fourth proportional to 224.81, 310.09 and 158.30 is: 218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.81 : 310.09 = 158.30 : x
  2. Step 2: Convert to fraction form
    224.81/310.09 = 158.30/x
  3. Step 3: Cross multiply
    224.81x = 310.09 × 158.30
  4. Step 4: Simplify right side
    224.81x = 49,086.87
  5. Step 5: Solve for x
    x = 49,086.87/224.81
  6. Step 6: Final answer
    x = 218.35

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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.