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Finding the Fourth Proportional to 235.96, 325.26 and 189.52

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Solution

The fourth proportional to 235.96, 325.26 and 189.52 is: 261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.96 : 325.26 = 189.52 : x
  2. Step 2: Convert to fraction form
    235.96/325.26 = 189.52/x
  3. Step 3: Cross multiply
    235.96x = 325.26 × 189.52
  4. Step 4: Simplify right side
    235.96x = 61,643.28
  5. Step 5: Solve for x
    x = 61,643.28/235.96
  6. Step 6: Final answer
    x = 261.24

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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.