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Finding the Fourth Proportional to 156.33, 234.02 and 123.59

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Solution

The fourth proportional to 156.33, 234.02 and 123.59 is: 185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.33 : 234.02 = 123.59 : x
  2. Step 2: Convert to fraction form
    156.33/234.02 = 123.59/x
  3. Step 3: Cross multiply
    156.33x = 234.02 × 123.59
  4. Step 4: Simplify right side
    156.33x = 28,923.43
  5. Step 5: Solve for x
    x = 28,923.43/156.33
  6. Step 6: Final answer
    x = 185.02

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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.