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Finding the Fourth Proportional to 237.94, 356.85 and 114.42

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Solution

The fourth proportional to 237.94, 356.85 and 114.42 is: 171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.94 : 356.85 = 114.42 : x
  2. Step 2: Convert to fraction form
    237.94/356.85 = 114.42/x
  3. Step 3: Cross multiply
    237.94x = 356.85 × 114.42
  4. Step 4: Simplify right side
    237.94x = 40,830.78
  5. Step 5: Solve for x
    x = 40,830.78/237.94
  6. Step 6: Final answer
    x = 171.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.