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Finding the Fourth Proportional to 180.42, 270.42 and 118.65

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Solution

The fourth proportional to 180.42, 270.42 and 118.65 is: 177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 270.42 = 118.65 : x
  2. Step 2: Convert to fraction form
    180.42/270.42 = 118.65/x
  3. Step 3: Cross multiply
    180.42x = 270.42 × 118.65
  4. Step 4: Simplify right side
    180.42x = 32,085.33
  5. Step 5: Solve for x
    x = 32,085.33/180.42
  6. Step 6: Final answer
    x = 177.84

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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.