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Finding the Fourth Proportional to 252.18, 376.47 and 224.84

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Solution

The fourth proportional to 252.18, 376.47 and 224.84 is: 335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.18 : 376.47 = 224.84 : x
  2. Step 2: Convert to fraction form
    252.18/376.47 = 224.84/x
  3. Step 3: Cross multiply
    252.18x = 376.47 × 224.84
  4. Step 4: Simplify right side
    252.18x = 84,645.51
  5. Step 5: Solve for x
    x = 84,645.51/252.18
  6. Step 6: Final answer
    x = 335.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.