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Finding the Fourth Proportional to 235.82, 353.96 and 192.98

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Solution

The fourth proportional to 235.82, 353.96 and 192.98 is: 289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.82 : 353.96 = 192.98 : x
  2. Step 2: Convert to fraction form
    235.82/353.96 = 192.98/x
  3. Step 3: Cross multiply
    235.82x = 353.96 × 192.98
  4. Step 4: Simplify right side
    235.82x = 68,307.20
  5. Step 5: Solve for x
    x = 68,307.20/235.82
  6. Step 6: Final answer
    x = 289.66

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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.