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Finding the Fourth Proportional to 180.24, 246.90 and 175.12

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Solution

The fourth proportional to 180.24, 246.90 and 175.12 is: 239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 246.90 = 175.12 : x
  2. Step 2: Convert to fraction form
    180.24/246.90 = 175.12/x
  3. Step 3: Cross multiply
    180.24x = 246.90 × 175.12
  4. Step 4: Simplify right side
    180.24x = 43,237.13
  5. Step 5: Solve for x
    x = 43,237.13/180.24
  6. Step 6: Final answer
    x = 239.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.