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Finding the Fourth Proportional to 365.06, 503.59 and 225.20

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Solution

The fourth proportional to 365.06, 503.59 and 225.20 is: 310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 503.59 = 225.20 : x
  2. Step 2: Convert to fraction form
    365.06/503.59 = 225.20/x
  3. Step 3: Cross multiply
    365.06x = 503.59 × 225.20
  4. Step 4: Simplify right side
    365.06x = 113,408.47
  5. Step 5: Solve for x
    x = 113,408.47/365.06
  6. Step 6: Final answer
    x = 310.66

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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.