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Finding the Fourth Proportional to 238.48, 355.86 and 224.72

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Solution

The fourth proportional to 238.48, 355.86 and 224.72 is: 335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.48 : 355.86 = 224.72 : x
  2. Step 2: Convert to fraction form
    238.48/355.86 = 224.72/x
  3. Step 3: Cross multiply
    238.48x = 355.86 × 224.72
  4. Step 4: Simplify right side
    238.48x = 79,968.86
  5. Step 5: Solve for x
    x = 79,968.86/238.48
  6. Step 6: Final answer
    x = 335.33

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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.