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Finding the Fourth Proportional to 367.40, 551.00 and 162.02

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Solution

The fourth proportional to 367.40, 551.00 and 162.02 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.40 : 551.00 = 162.02 : x
  2. Step 2: Convert to fraction form
    367.40/551.00 = 162.02/x
  3. Step 3: Cross multiply
    367.40x = 551.00 × 162.02
  4. Step 4: Simplify right side
    367.40x = 89,270.67
  5. Step 5: Solve for x
    x = 89,270.67/367.40
  6. Step 6: Final answer
    x = 242.98

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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.