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Finding the Fourth Proportional to 156.94, 234.41 and 122.62

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Solution

The fourth proportional to 156.94, 234.41 and 122.62 is: 183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.94 : 234.41 = 122.62 : x
  2. Step 2: Convert to fraction form
    156.94/234.41 = 122.62/x
  3. Step 3: Cross multiply
    156.94x = 234.41 × 122.62
  4. Step 4: Simplify right side
    156.94x = 28,742.74
  5. Step 5: Solve for x
    x = 28,742.74/156.94
  6. Step 6: Final answer
    x = 183.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.