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Finding the Fourth Proportional to 356.22, 491.64 and 225.27

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Solution

The fourth proportional to 356.22, 491.64 and 225.27 is: 310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.22 : 491.64 = 225.27 : x
  2. Step 2: Convert to fraction form
    356.22/491.64 = 225.27/x
  3. Step 3: Cross multiply
    356.22x = 491.64 × 225.27
  4. Step 4: Simplify right side
    356.22x = 110,751.74
  5. Step 5: Solve for x
    x = 110,751.74/356.22
  6. Step 6: Final answer
    x = 310.91

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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.