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Finding the Fourth Proportional to 374.97, 517.63 and 225.66

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Solution

The fourth proportional to 374.97, 517.63 and 225.66 is: 311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.97 : 517.63 = 225.66 : x
  2. Step 2: Convert to fraction form
    374.97/517.63 = 225.66/x
  3. Step 3: Cross multiply
    374.97x = 517.63 × 225.66
  4. Step 4: Simplify right side
    374.97x = 116,807.82
  5. Step 5: Solve for x
    x = 116,807.82/374.97
  6. Step 6: Final answer
    x = 311.51

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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.