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Finding the Fourth Proportional to 243.01, 364.51 and 80.67

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Solution

The fourth proportional to 243.01, 364.51 and 80.67 is: 121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.01 : 364.51 = 80.67 : x
  2. Step 2: Convert to fraction form
    243.01/364.51 = 80.67/x
  3. Step 3: Cross multiply
    243.01x = 364.51 × 80.67
  4. Step 4: Simplify right side
    243.01x = 29,405.02
  5. Step 5: Solve for x
    x = 29,405.02/243.01
  6. Step 6: Final answer
    x = 121.01

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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.