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Finding the Fourth Proportional to 237.56, 354.39 and 229.15

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Solution

The fourth proportional to 237.56, 354.39 and 229.15 is: 341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.56 : 354.39 = 229.15 : x
  2. Step 2: Convert to fraction form
    237.56/354.39 = 229.15/x
  3. Step 3: Cross multiply
    237.56x = 354.39 × 229.15
  4. Step 4: Simplify right side
    237.56x = 81,208.47
  5. Step 5: Solve for x
    x = 81,208.47/237.56
  6. Step 6: Final answer
    x = 341.84

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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.