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Finding the Fourth Proportional to 236.52, 353.16 and 193.14

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Solution

The fourth proportional to 236.52, 353.16 and 193.14 is: 288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.52 : 353.16 = 193.14 : x
  2. Step 2: Convert to fraction form
    236.52/353.16 = 193.14/x
  3. Step 3: Cross multiply
    236.52x = 353.16 × 193.14
  4. Step 4: Simplify right side
    236.52x = 68,209.32
  5. Step 5: Solve for x
    x = 68,209.32/236.52
  6. Step 6: Final answer
    x = 288.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.