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Finding the Fourth Proportional to 235.80, 325.53 and 157.23

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Solution

The fourth proportional to 235.80, 325.53 and 157.23 is: 217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 325.53 = 157.23 : x
  2. Step 2: Convert to fraction form
    235.80/325.53 = 157.23/x
  3. Step 3: Cross multiply
    235.80x = 325.53 × 157.23
  4. Step 4: Simplify right side
    235.80x = 51,183.08
  5. Step 5: Solve for x
    x = 51,183.08/235.80
  6. Step 6: Final answer
    x = 217.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.