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Finding the Fourth Proportional to 156.47, 234.48 and 122.06

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Solution

The fourth proportional to 156.47, 234.48 and 122.06 is: 182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.47 : 234.48 = 122.06 : x
  2. Step 2: Convert to fraction form
    156.47/234.48 = 122.06/x
  3. Step 3: Cross multiply
    156.47x = 234.48 × 122.06
  4. Step 4: Simplify right side
    156.47x = 28,620.99
  5. Step 5: Solve for x
    x = 28,620.99/156.47
  6. Step 6: Final answer
    x = 182.92

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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.