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Finding the Fourth Proportional to 177.51, 244.86 and 107.52

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Solution

The fourth proportional to 177.51, 244.86 and 107.52 is: 148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.51 : 244.86 = 107.52 : x
  2. Step 2: Convert to fraction form
    177.51/244.86 = 107.52/x
  3. Step 3: Cross multiply
    177.51x = 244.86 × 107.52
  4. Step 4: Simplify right side
    177.51x = 26,327.35
  5. Step 5: Solve for x
    x = 26,327.35/177.51
  6. Step 6: Final answer
    x = 148.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.