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Finding the Fourth Proportional to 367.93, 551.74 and 162.50

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Solution

The fourth proportional to 367.93, 551.74 and 162.50 is: 243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.93 : 551.74 = 162.50 : x
  2. Step 2: Convert to fraction form
    367.93/551.74 = 162.50/x
  3. Step 3: Cross multiply
    367.93x = 551.74 × 162.50
  4. Step 4: Simplify right side
    367.93x = 89,657.75
  5. Step 5: Solve for x
    x = 89,657.75/367.93
  6. Step 6: Final answer
    x = 243.68

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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.