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Finding the Fourth Proportional to 357.24, 492.78 and 226.32

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Solution

The fourth proportional to 357.24, 492.78 and 226.32 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 492.78 = 226.32 : x
  2. Step 2: Convert to fraction form
    357.24/492.78 = 226.32/x
  3. Step 3: Cross multiply
    357.24x = 492.78 × 226.32
  4. Step 4: Simplify right side
    357.24x = 111,525.97
  5. Step 5: Solve for x
    x = 111,525.97/357.24
  6. Step 6: Final answer
    x = 312.19

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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.