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Finding the Fourth Proportional to 356.36, 491.74 and 225.34

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Solution

The fourth proportional to 356.36, 491.74 and 225.34 is: 310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.36 : 491.74 = 225.34 : x
  2. Step 2: Convert to fraction form
    356.36/491.74 = 225.34/x
  3. Step 3: Cross multiply
    356.36x = 491.74 × 225.34
  4. Step 4: Simplify right side
    356.36x = 110,806.90
  5. Step 5: Solve for x
    x = 110,806.90/356.36
  6. Step 6: Final answer
    x = 310.95

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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.