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Finding the Fourth Proportional to 356.24, 491.68 and 225.28

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Solution

The fourth proportional to 356.24, 491.68 and 225.28 is: 310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.24 : 491.68 = 225.28 : x
  2. Step 2: Convert to fraction form
    356.24/491.68 = 225.28/x
  3. Step 3: Cross multiply
    356.24x = 491.68 × 225.28
  4. Step 4: Simplify right side
    356.24x = 110,765.67
  5. Step 5: Solve for x
    x = 110,765.67/356.24
  6. Step 6: Final answer
    x = 310.93

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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.