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Finding the Fourth Proportional to 357.72, 493.60 and 226.92

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Solution

The fourth proportional to 357.72, 493.60 and 226.92 is: 313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.72 : 493.60 = 226.92 : x
  2. Step 2: Convert to fraction form
    357.72/493.60 = 226.92/x
  3. Step 3: Cross multiply
    357.72x = 493.60 × 226.92
  4. Step 4: Simplify right side
    357.72x = 112,007.71
  5. Step 5: Solve for x
    x = 112,007.71/357.72
  6. Step 6: Final answer
    x = 313.12

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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.