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Finding the Fourth Proportional to 177.29, 244.74 and 118.37

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Solution

The fourth proportional to 177.29, 244.74 and 118.37 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.29 : 244.74 = 118.37 : x
  2. Step 2: Convert to fraction form
    177.29/244.74 = 118.37/x
  3. Step 3: Cross multiply
    177.29x = 244.74 × 118.37
  4. Step 4: Simplify right side
    177.29x = 28,969.87
  5. Step 5: Solve for x
    x = 28,969.87/177.29
  6. Step 6: Final answer
    x = 163.40

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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.