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Finding the Fourth Proportional to 243.00, 364.12 and 96.67

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Solution

The fourth proportional to 243.00, 364.12 and 96.67 is: 144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.00 : 364.12 = 96.67 : x
  2. Step 2: Convert to fraction form
    243.00/364.12 = 96.67/x
  3. Step 3: Cross multiply
    243.00x = 364.12 × 96.67
  4. Step 4: Simplify right side
    243.00x = 35,200.51
  5. Step 5: Solve for x
    x = 35,200.51/243.00
  6. Step 6: Final answer
    x = 144.86

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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.