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Finding the Fourth Proportional to 400.19, 552.26 and 225.53

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Solution

The fourth proportional to 400.19, 552.26 and 225.53 is: 311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.19 : 552.26 = 225.53 : x
  2. Step 2: Convert to fraction form
    400.19/552.26 = 225.53/x
  3. Step 3: Cross multiply
    400.19x = 552.26 × 225.53
  4. Step 4: Simplify right side
    400.19x = 124,552.58
  5. Step 5: Solve for x
    x = 124,552.58/400.19
  6. Step 6: Final answer
    x = 311.24

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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.