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Finding the Fourth Proportional to 223.78, 308.74 and 130.51

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Solution

The fourth proportional to 223.78, 308.74 and 130.51 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.78 : 308.74 = 130.51 : x
  2. Step 2: Convert to fraction form
    223.78/308.74 = 130.51/x
  3. Step 3: Cross multiply
    223.78x = 308.74 × 130.51
  4. Step 4: Simplify right side
    223.78x = 40,293.66
  5. Step 5: Solve for x
    x = 40,293.66/223.78
  6. Step 6: Final answer
    x = 180.06

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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.