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Finding the Fourth Proportional to 180.56, 269.74 and 151.40

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Solution

The fourth proportional to 180.56, 269.74 and 151.40 is: 226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 269.74 = 151.40 : x
  2. Step 2: Convert to fraction form
    180.56/269.74 = 151.40/x
  3. Step 3: Cross multiply
    180.56x = 269.74 × 151.40
  4. Step 4: Simplify right side
    180.56x = 40,838.64
  5. Step 5: Solve for x
    x = 40,838.64/180.56
  6. Step 6: Final answer
    x = 226.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.