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Finding the Fourth Proportional to 223.83, 308.82 and 130.53

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Solution

The fourth proportional to 223.83, 308.82 and 130.53 is: 180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.83 : 308.82 = 130.53 : x
  2. Step 2: Convert to fraction form
    223.83/308.82 = 130.53/x
  3. Step 3: Cross multiply
    223.83x = 308.82 × 130.53
  4. Step 4: Simplify right side
    223.83x = 40,310.27
  5. Step 5: Solve for x
    x = 40,310.27/223.83
  6. Step 6: Final answer
    x = 180.09

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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.