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Finding the Fourth Proportional to 236.53, 354.66 and 90.22

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Solution

The fourth proportional to 236.53, 354.66 and 90.22 is: 135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.53 : 354.66 = 90.22 : x
  2. Step 2: Convert to fraction form
    236.53/354.66 = 90.22/x
  3. Step 3: Cross multiply
    236.53x = 354.66 × 90.22
  4. Step 4: Simplify right side
    236.53x = 31,997.43
  5. Step 5: Solve for x
    x = 31,997.43/236.53
  6. Step 6: Final answer
    x = 135.28

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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.