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Finding the Fourth Proportional to 177.80, 266.83 and 120.14

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Solution

The fourth proportional to 177.80, 266.83 and 120.14 is: 180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.80 : 266.83 = 120.14 : x
  2. Step 2: Convert to fraction form
    177.80/266.83 = 120.14/x
  3. Step 3: Cross multiply
    177.80x = 266.83 × 120.14
  4. Step 4: Simplify right side
    177.80x = 32,055.32
  5. Step 5: Solve for x
    x = 32,055.32/177.80
  6. Step 6: Final answer
    x = 180.29

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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.