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Finding the Fourth Proportional to 156.78, 234.18 and 122.58

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Solution

The fourth proportional to 156.78, 234.18 and 122.58 is: 183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.78 : 234.18 = 122.58 : x
  2. Step 2: Convert to fraction form
    156.78/234.18 = 122.58/x
  3. Step 3: Cross multiply
    156.78x = 234.18 × 122.58
  4. Step 4: Simplify right side
    156.78x = 28,705.78
  5. Step 5: Solve for x
    x = 28,705.78/156.78
  6. Step 6: Final answer
    x = 183.10

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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.