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Finding the Fourth Proportional to 180.23, 270.32 and 51.98

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Solution

The fourth proportional to 180.23, 270.32 and 51.98 is: 77.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 270.32 = 51.98 : x
  2. Step 2: Convert to fraction form
    180.23/270.32 = 51.98/x
  3. Step 3: Cross multiply
    180.23x = 270.32 × 51.98
  4. Step 4: Simplify right side
    180.23x = 14,051.23
  5. Step 5: Solve for x
    x = 14,051.23/180.23
  6. Step 6: Final answer
    x = 77.96

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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.