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Finding the Fourth Proportional to 237.69, 356.47 and 114.23

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Solution

The fourth proportional to 237.69, 356.47 and 114.23 is: 171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.69 : 356.47 = 114.23 : x
  2. Step 2: Convert to fraction form
    237.69/356.47 = 114.23/x
  3. Step 3: Cross multiply
    237.69x = 356.47 × 114.23
  4. Step 4: Simplify right side
    237.69x = 40,719.00
  5. Step 5: Solve for x
    x = 40,719.00/237.69
  6. Step 6: Final answer
    x = 171.31

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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.