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Finding the Fourth Proportional to 238.59, 328.48 and 224.92

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Solution

The fourth proportional to 238.59, 328.48 and 224.92 is: 309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.59 : 328.48 = 224.92 : x
  2. Step 2: Convert to fraction form
    238.59/328.48 = 224.92/x
  3. Step 3: Cross multiply
    238.59x = 328.48 × 224.92
  4. Step 4: Simplify right side
    238.59x = 73,880.34
  5. Step 5: Solve for x
    x = 73,880.34/238.59
  6. Step 6: Final answer
    x = 309.65

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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.