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Finding the Fourth Proportional to 236.78, 353.57 and 193.53

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Solution

The fourth proportional to 236.78, 353.57 and 193.53 is: 288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.78 : 353.57 = 193.53 : x
  2. Step 2: Convert to fraction form
    236.78/353.57 = 193.53/x
  3. Step 3: Cross multiply
    236.78x = 353.57 × 193.53
  4. Step 4: Simplify right side
    236.78x = 68,424.11
  5. Step 5: Solve for x
    x = 68,424.11/236.78
  6. Step 6: Final answer
    x = 288.98

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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.