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Finding the Fourth Proportional to 367.60, 551.36 and 245.78

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Solution

The fourth proportional to 367.60, 551.36 and 245.78 is: 368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.60 : 551.36 = 245.78 : x
  2. Step 2: Convert to fraction form
    367.60/551.36 = 245.78/x
  3. Step 3: Cross multiply
    367.60x = 551.36 × 245.78
  4. Step 4: Simplify right side
    367.60x = 135,513.26
  5. Step 5: Solve for x
    x = 135,513.26/367.60
  6. Step 6: Final answer
    x = 368.64

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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.