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Finding the Fourth Proportional to 154.78, 230.94 and 142.64

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Solution

The fourth proportional to 154.78, 230.94 and 142.64 is: 212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.78 : 230.94 = 142.64 : x
  2. Step 2: Convert to fraction form
    154.78/230.94 = 142.64/x
  3. Step 3: Cross multiply
    154.78x = 230.94 × 142.64
  4. Step 4: Simplify right side
    154.78x = 32,941.28
  5. Step 5: Solve for x
    x = 32,941.28/154.78
  6. Step 6: Final answer
    x = 212.83

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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.