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Finding the Fourth Proportional to 229, 316.28 and 180.44

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Solution

The fourth proportional to 229, 316.28 and 180.44 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229 : 316.28 = 180.44 : x
  2. Step 2: Convert to fraction form
    229/316.28 = 180.44/x
  3. Step 3: Cross multiply
    229x = 316.28 × 180.44
  4. Step 4: Simplify right side
    229x = 57,069.56
  5. Step 5: Solve for x
    x = 57,069.56/229
  6. Step 6: Final answer
    x = 249.21

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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.