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Finding the Fourth Proportional to 357.64, 493.22 and 226.60

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Solution

The fourth proportional to 357.64, 493.22 and 226.60 is: 312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.64 : 493.22 = 226.60 : x
  2. Step 2: Convert to fraction form
    357.64/493.22 = 226.60/x
  3. Step 3: Cross multiply
    357.64x = 493.22 × 226.60
  4. Step 4: Simplify right side
    357.64x = 111,763.65
  5. Step 5: Solve for x
    x = 111,763.65/357.64
  6. Step 6: Final answer
    x = 312.50

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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.