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Finding the Fourth Proportional to 356.56, 491.96 and 225.52

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Solution

The fourth proportional to 356.56, 491.96 and 225.52 is: 311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.56 : 491.96 = 225.52 : x
  2. Step 2: Convert to fraction form
    356.56/491.96 = 225.52/x
  3. Step 3: Cross multiply
    356.56x = 491.96 × 225.52
  4. Step 4: Simplify right side
    356.56x = 110,946.82
  5. Step 5: Solve for x
    x = 110,946.82/356.56
  6. Step 6: Final answer
    x = 311.16

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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.