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Finding the Fourth Proportional to 365.16, 503.71 and 225.25

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Solution

The fourth proportional to 365.16, 503.71 and 225.25 is: 310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.16 : 503.71 = 225.25 : x
  2. Step 2: Convert to fraction form
    365.16/503.71 = 225.25/x
  3. Step 3: Cross multiply
    365.16x = 503.71 × 225.25
  4. Step 4: Simplify right side
    365.16x = 113,458.86
  5. Step 5: Solve for x
    x = 113,458.86/365.16
  6. Step 6: Final answer
    x = 310.71

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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.