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Finding the Fourth Proportional to 235.07, 352.83 and 192.23

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Solution

The fourth proportional to 235.07, 352.83 and 192.23 is: 288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.07 : 352.83 = 192.23 : x
  2. Step 2: Convert to fraction form
    235.07/352.83 = 192.23/x
  3. Step 3: Cross multiply
    235.07x = 352.83 × 192.23
  4. Step 4: Simplify right side
    235.07x = 67,822.75
  5. Step 5: Solve for x
    x = 67,822.75/235.07
  6. Step 6: Final answer
    x = 288.53

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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.