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Finding the Fourth Proportional to 224.80, 310.36 and 155.24

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Solution

The fourth proportional to 224.80, 310.36 and 155.24 is: 214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.80 : 310.36 = 155.24 : x
  2. Step 2: Convert to fraction form
    224.80/310.36 = 155.24/x
  3. Step 3: Cross multiply
    224.80x = 310.36 × 155.24
  4. Step 4: Simplify right side
    224.80x = 48,180.29
  5. Step 5: Solve for x
    x = 48,180.29/224.80
  6. Step 6: Final answer
    x = 214.33

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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.