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Finding the Fourth Proportional to 177.45, 265.87 and 109.05

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Solution

The fourth proportional to 177.45, 265.87 and 109.05 is: 163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.45 : 265.87 = 109.05 : x
  2. Step 2: Convert to fraction form
    177.45/265.87 = 109.05/x
  3. Step 3: Cross multiply
    177.45x = 265.87 × 109.05
  4. Step 4: Simplify right side
    177.45x = 28,993.12
  5. Step 5: Solve for x
    x = 28,993.12/177.45
  6. Step 6: Final answer
    x = 163.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.