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Finding the Fourth Proportional to 237.37, 356.26 and 114.12

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Solution

The fourth proportional to 237.37, 356.26 and 114.12 is: 171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.37 : 356.26 = 114.12 : x
  2. Step 2: Convert to fraction form
    237.37/356.26 = 114.12/x
  3. Step 3: Cross multiply
    237.37x = 356.26 × 114.12
  4. Step 4: Simplify right side
    237.37x = 40,656.39
  5. Step 5: Solve for x
    x = 40,656.39/237.37
  6. Step 6: Final answer
    x = 171.28

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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.