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Finding the Fourth Proportional to 177.15, 244.41 and 135.18

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Solution

The fourth proportional to 177.15, 244.41 and 135.18 is: 186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.15 : 244.41 = 135.18 : x
  2. Step 2: Convert to fraction form
    177.15/244.41 = 135.18/x
  3. Step 3: Cross multiply
    177.15x = 244.41 × 135.18
  4. Step 4: Simplify right side
    177.15x = 33,039.34
  5. Step 5: Solve for x
    x = 33,039.34/177.15
  6. Step 6: Final answer
    x = 186.50

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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.