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Finding the Fourth Proportional to 177.83, 266.78 and 120.27

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Solution

The fourth proportional to 177.83, 266.78 and 120.27 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.83 : 266.78 = 120.27 : x
  2. Step 2: Convert to fraction form
    177.83/266.78 = 120.27/x
  3. Step 3: Cross multiply
    177.83x = 266.78 × 120.27
  4. Step 4: Simplify right side
    177.83x = 32,085.63
  5. Step 5: Solve for x
    x = 32,085.63/177.83
  6. Step 6: Final answer
    x = 180.43

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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.