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Finding the Fourth Proportional to 356.60, 492.24 and 225.80

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Solution

The fourth proportional to 356.60, 492.24 and 225.80 is: 311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.60 : 492.24 = 225.80 : x
  2. Step 2: Convert to fraction form
    356.60/492.24 = 225.80/x
  3. Step 3: Cross multiply
    356.60x = 492.24 × 225.80
  4. Step 4: Simplify right side
    356.60x = 111,147.79
  5. Step 5: Solve for x
    x = 111,147.79/356.60
  6. Step 6: Final answer
    x = 311.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.