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Finding the Fourth Proportional to 177.40, 244.83 and 107.48

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Solution

The fourth proportional to 177.40, 244.83 and 107.48 is: 148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 244.83 = 107.48 : x
  2. Step 2: Convert to fraction form
    177.40/244.83 = 107.48/x
  3. Step 3: Cross multiply
    177.40x = 244.83 × 107.48
  4. Step 4: Simplify right side
    177.40x = 26,314.33
  5. Step 5: Solve for x
    x = 26,314.33/177.40
  6. Step 6: Final answer
    x = 148.33

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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.