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Finding the Fourth Proportional to 237.74, 358.34 and 224.51

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Solution

The fourth proportional to 237.74, 358.34 and 224.51 is: 338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.74 : 358.34 = 224.51 : x
  2. Step 2: Convert to fraction form
    237.74/358.34 = 224.51/x
  3. Step 3: Cross multiply
    237.74x = 358.34 × 224.51
  4. Step 4: Simplify right side
    237.74x = 80,448.00
  5. Step 5: Solve for x
    x = 80,448.00/237.74
  6. Step 6: Final answer
    x = 338.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.