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Finding the Fourth Proportional to 237.15, 352.53 and 229.86

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Solution

The fourth proportional to 237.15, 352.53 and 229.86 is: 341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.15 : 352.53 = 229.86 : x
  2. Step 2: Convert to fraction form
    237.15/352.53 = 229.86/x
  3. Step 3: Cross multiply
    237.15x = 352.53 × 229.86
  4. Step 4: Simplify right side
    237.15x = 81,032.55
  5. Step 5: Solve for x
    x = 81,032.55/237.15
  6. Step 6: Final answer
    x = 341.69

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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.