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Finding the Fourth Proportional to 367.50, 551.52 and 205.02

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Solution

The fourth proportional to 367.50, 551.52 and 205.02 is: 307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.50 : 551.52 = 205.02 : x
  2. Step 2: Convert to fraction form
    367.50/551.52 = 205.02/x
  3. Step 3: Cross multiply
    367.50x = 551.52 × 205.02
  4. Step 4: Simplify right side
    367.50x = 113,072.63
  5. Step 5: Solve for x
    x = 113,072.63/367.50
  6. Step 6: Final answer
    x = 307.68

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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.