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Finding the Fourth Proportional to 233.86, 351.10 and 136.46

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Solution

The fourth proportional to 233.86, 351.10 and 136.46 is: 204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.86 : 351.10 = 136.46 : x
  2. Step 2: Convert to fraction form
    233.86/351.10 = 136.46/x
  3. Step 3: Cross multiply
    233.86x = 351.10 × 136.46
  4. Step 4: Simplify right side
    233.86x = 47,909.35
  5. Step 5: Solve for x
    x = 47,909.35/233.86
  6. Step 6: Final answer
    x = 204.87

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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.