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Finding the Fourth Proportional to 243.47, 364.68 and 162.23

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Solution

The fourth proportional to 243.47, 364.68 and 162.23 is: 242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.47 : 364.68 = 162.23 : x
  2. Step 2: Convert to fraction form
    243.47/364.68 = 162.23/x
  3. Step 3: Cross multiply
    243.47x = 364.68 × 162.23
  4. Step 4: Simplify right side
    243.47x = 59,160.21
  5. Step 5: Solve for x
    x = 59,160.21/243.47
  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.