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Finding the Fourth Proportional to 357.01, 492.48 and 225.99

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Solution

The fourth proportional to 357.01, 492.48 and 225.99 is: 311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.01 : 492.48 = 225.99 : x
  2. Step 2: Convert to fraction form
    357.01/492.48 = 225.99/x
  3. Step 3: Cross multiply
    357.01x = 492.48 × 225.99
  4. Step 4: Simplify right side
    357.01x = 111,295.56
  5. Step 5: Solve for x
    x = 111,295.56/357.01
  6. Step 6: Final answer
    x = 311.75

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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.