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Finding the Fourth Proportional to 225.56, 339.14 and 180.47

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Solution

The fourth proportional to 225.56, 339.14 and 180.47 is: 271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.56 : 339.14 = 180.47 : x
  2. Step 2: Convert to fraction form
    225.56/339.14 = 180.47/x
  3. Step 3: Cross multiply
    225.56x = 339.14 × 180.47
  4. Step 4: Simplify right side
    225.56x = 61,203.35
  5. Step 5: Solve for x
    x = 61,203.35/225.56
  6. Step 6: Final answer
    x = 271.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.