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Finding the Fourth Proportional to 177.78, 245.29 and 107.82

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Solution

The fourth proportional to 177.78, 245.29 and 107.82 is: 148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 245.29 = 107.82 : x
  2. Step 2: Convert to fraction form
    177.78/245.29 = 107.82/x
  3. Step 3: Cross multiply
    177.78x = 245.29 × 107.82
  4. Step 4: Simplify right side
    177.78x = 26,446.90
  5. Step 5: Solve for x
    x = 26,446.90/177.78
  6. Step 6: Final answer
    x = 148.76

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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.