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Finding the Fourth Proportional to 180, 246.72 and 175.32

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Solution

The fourth proportional to 180, 246.72 and 175.32 is: 240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 246.72 = 175.32 : x
  2. Step 2: Convert to fraction form
    180/246.72 = 175.32/x
  3. Step 3: Cross multiply
    180x = 246.72 × 175.32
  4. Step 4: Simplify right side
    180x = 43,254.95
  5. Step 5: Solve for x
    x = 43,254.95/180
  6. Step 6: Final answer
    x = 240.31

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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.