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Finding the Fourth Proportional to 185.42, 277.95 and 120.47

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Solution

The fourth proportional to 185.42, 277.95 and 120.47 is: 180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.42 : 277.95 = 120.47 : x
  2. Step 2: Convert to fraction form
    185.42/277.95 = 120.47/x
  3. Step 3: Cross multiply
    185.42x = 277.95 × 120.47
  4. Step 4: Simplify right side
    185.42x = 33,483.25
  5. Step 5: Solve for x
    x = 33,483.25/185.42
  6. Step 6: Final answer
    x = 180.59

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