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Finding the Fourth Proportional to 235.31, 352.82 and 72.98

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Solution

The fourth proportional to 235.31, 352.82 and 72.98 is: 109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.31 : 352.82 = 72.98 : x
  2. Step 2: Convert to fraction form
    235.31/352.82 = 72.98/x
  3. Step 3: Cross multiply
    235.31x = 352.82 × 72.98
  4. Step 4: Simplify right side
    235.31x = 25,746.67
  5. Step 5: Solve for x
    x = 25,746.67/235.31
  6. Step 6: Final answer
    x = 109.42

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Why These Related Problems?

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