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Finding the Fourth Proportional to 236.53, 353.41 and 174.56

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Solution

The fourth proportional to 236.53, 353.41 and 174.56 is: 260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.53 : 353.41 = 174.56 : x
  2. Step 2: Convert to fraction form
    236.53/353.41 = 174.56/x
  3. Step 3: Cross multiply
    236.53x = 353.41 × 174.56
  4. Step 4: Simplify right side
    236.53x = 61,691.25
  5. Step 5: Solve for x
    x = 61,691.25/236.53
  6. Step 6: Final answer
    x = 260.82

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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.