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Finding the Fourth Proportional to 243.50, 364.86 and 106.40

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Solution

The fourth proportional to 243.50, 364.86 and 106.40 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.50 : 364.86 = 106.40 : x
  2. Step 2: Convert to fraction form
    243.50/364.86 = 106.40/x
  3. Step 3: Cross multiply
    243.50x = 364.86 × 106.40
  4. Step 4: Simplify right side
    243.50x = 38,819.28
  5. Step 5: Solve for x
    x = 38,819.28/243.50
  6. Step 6: Final answer
    x = 159.43

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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.