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Finding the Fourth Proportional to 185.14, 277.65 and 120.21

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Solution

The fourth proportional to 185.14, 277.65 and 120.21 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.14 : 277.65 = 120.21 : x
  2. Step 2: Convert to fraction form
    185.14/277.65 = 120.21/x
  3. Step 3: Cross multiply
    185.14x = 277.65 × 120.21
  4. Step 4: Simplify right side
    185.14x = 33,376.31
  5. Step 5: Solve for x
    x = 33,376.31/185.14
  6. Step 6: Final answer
    x = 180.28

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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.