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Finding the Fourth Proportional to 156.72, 236.24 and 135.22

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Solution

The fourth proportional to 156.72, 236.24 and 135.22 is: 203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.72 : 236.24 = 135.22 : x
  2. Step 2: Convert to fraction form
    156.72/236.24 = 135.22/x
  3. Step 3: Cross multiply
    156.72x = 236.24 × 135.22
  4. Step 4: Simplify right side
    156.72x = 31,944.37
  5. Step 5: Solve for x
    x = 31,944.37/156.72
  6. Step 6: Final answer
    x = 203.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.