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Finding the Fourth Proportional to 235.33, 352.58 and 138.94

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Solution

The fourth proportional to 235.33, 352.58 and 138.94 is: 208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.33 : 352.58 = 138.94 : x
  2. Step 2: Convert to fraction form
    235.33/352.58 = 138.94/x
  3. Step 3: Cross multiply
    235.33x = 352.58 × 138.94
  4. Step 4: Simplify right side
    235.33x = 48,985.89
  5. Step 5: Solve for x
    x = 48,985.89/235.33
  6. Step 6: Final answer
    x = 208.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.