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Finding the Fourth Proportional to 235.16, 352.71 and 61.82

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Solution

The fourth proportional to 235.16, 352.71 and 61.82 is: 92.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.16 : 352.71 = 61.82 : x
  2. Step 2: Convert to fraction form
    235.16/352.71 = 61.82/x
  3. Step 3: Cross multiply
    235.16x = 352.71 × 61.82
  4. Step 4: Simplify right side
    235.16x = 21,802.77
  5. Step 5: Solve for x
    x = 21,802.77/235.16
  6. Step 6: Final answer
    x = 92.72

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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.