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Finding the Fourth Proportional to 224.37, 310.20 and 197.03

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Solution

The fourth proportional to 224.37, 310.20 and 197.03 is: 272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.37 : 310.20 = 197.03 : x
  2. Step 2: Convert to fraction form
    224.37/310.20 = 197.03/x
  3. Step 3: Cross multiply
    224.37x = 310.20 × 197.03
  4. Step 4: Simplify right side
    224.37x = 61,118.71
  5. Step 5: Solve for x
    x = 61,118.71/224.37
  6. Step 6: Final answer
    x = 272.40

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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.