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Finding the Fourth Proportional to 180.76, 270.64 and 154.96

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Solution

The fourth proportional to 180.76, 270.64 and 154.96 is: 232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.76 : 270.64 = 154.96 : x
  2. Step 2: Convert to fraction form
    180.76/270.64 = 154.96/x
  3. Step 3: Cross multiply
    180.76x = 270.64 × 154.96
  4. Step 4: Simplify right side
    180.76x = 41,938.37
  5. Step 5: Solve for x
    x = 41,938.37/180.76
  6. Step 6: Final answer
    x = 232.01

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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.