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Finding the Fourth Proportional to 356.42, 491.61 and 225.22

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Solution

The fourth proportional to 356.42, 491.61 and 225.22 is: 310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.42 : 491.61 = 225.22 : x
  2. Step 2: Convert to fraction form
    356.42/491.61 = 225.22/x
  3. Step 3: Cross multiply
    356.42x = 491.61 × 225.22
  4. Step 4: Simplify right side
    356.42x = 110,720.40
  5. Step 5: Solve for x
    x = 110,720.40/356.42
  6. Step 6: Final answer
    x = 310.65

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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.