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Finding the Fourth Proportional to 236.21, 354.54 and 174.33

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Solution

The fourth proportional to 236.21, 354.54 and 174.33 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.21 : 354.54 = 174.33 : x
  2. Step 2: Convert to fraction form
    236.21/354.54 = 174.33/x
  3. Step 3: Cross multiply
    236.21x = 354.54 × 174.33
  4. Step 4: Simplify right side
    236.21x = 61,806.96
  5. Step 5: Solve for x
    x = 61,806.96/236.21
  6. Step 6: Final answer
    x = 261.66

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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.