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Finding the Fourth Proportional to 243.69, 364.91 and 162.27

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Solution

The fourth proportional to 243.69, 364.91 and 162.27 is: 242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.69 : 364.91 = 162.27 : x
  2. Step 2: Convert to fraction form
    243.69/364.91 = 162.27/x
  3. Step 3: Cross multiply
    243.69x = 364.91 × 162.27
  4. Step 4: Simplify right side
    243.69x = 59,213.13
  5. Step 5: Solve for x
    x = 59,213.13/243.69
  6. Step 6: Final answer
    x = 242.99

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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.