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Finding the Fourth Proportional to 156.37, 233.97 and 136.33

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Solution

The fourth proportional to 156.37, 233.97 and 136.33 is: 203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.37 : 233.97 = 136.33 : x
  2. Step 2: Convert to fraction form
    156.37/233.97 = 136.33/x
  3. Step 3: Cross multiply
    156.37x = 233.97 × 136.33
  4. Step 4: Simplify right side
    156.37x = 31,897.13
  5. Step 5: Solve for x
    x = 31,897.13/156.37
  6. Step 6: Final answer
    x = 203.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.