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Finding the Fourth Proportional to 237.15, 357.66 and 226.35

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Solution

The fourth proportional to 237.15, 357.66 and 226.35 is: 341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.15 : 357.66 = 226.35 : x
  2. Step 2: Convert to fraction form
    237.15/357.66 = 226.35/x
  3. Step 3: Cross multiply
    237.15x = 357.66 × 226.35
  4. Step 4: Simplify right side
    237.15x = 80,956.34
  5. Step 5: Solve for x
    x = 80,956.34/237.15
  6. Step 6: Final answer
    x = 341.37

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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.