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Finding the Fourth Proportional to 225.66, 339.30 and 180.57

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Solution

The fourth proportional to 225.66, 339.30 and 180.57 is: 271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.66 : 339.30 = 180.57 : x
  2. Step 2: Convert to fraction form
    225.66/339.30 = 180.57/x
  3. Step 3: Cross multiply
    225.66x = 339.30 × 180.57
  4. Step 4: Simplify right side
    225.66x = 61,267.40
  5. Step 5: Solve for x
    x = 61,267.40/225.66
  6. Step 6: Final answer
    x = 271.50

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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.