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Finding the Fourth Proportional to 356.97, 492.17 and 225.75

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Solution

The fourth proportional to 356.97, 492.17 and 225.75 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.97 : 492.17 = 225.75 : x
  2. Step 2: Convert to fraction form
    356.97/492.17 = 225.75/x
  3. Step 3: Cross multiply
    356.97x = 492.17 × 225.75
  4. Step 4: Simplify right side
    356.97x = 111,106.25
  5. Step 5: Solve for x
    x = 111,106.25/356.97
  6. Step 6: Final answer
    x = 311.25

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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.