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Finding the Fourth Proportional to 180.44, 270.66 and 175.32

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Solution

The fourth proportional to 180.44, 270.66 and 175.32 is: 262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.44 : 270.66 = 175.32 : x
  2. Step 2: Convert to fraction form
    180.44/270.66 = 175.32/x
  3. Step 3: Cross multiply
    180.44x = 270.66 × 175.32
  4. Step 4: Simplify right side
    180.44x = 47,452.11
  5. Step 5: Solve for x
    x = 47,452.11/180.44
  6. Step 6: Final answer
    x = 262.98

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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.