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Finding the Fourth Proportional to 367.50, 551.43 and 184.91

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Solution

The fourth proportional to 367.50, 551.43 and 184.91 is: 277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.50 : 551.43 = 184.91 : x
  2. Step 2: Convert to fraction form
    367.50/551.43 = 184.91/x
  3. Step 3: Cross multiply
    367.50x = 551.43 × 184.91
  4. Step 4: Simplify right side
    367.50x = 101,962.16
  5. Step 5: Solve for x
    x = 101,962.16/367.50
  6. Step 6: Final answer
    x = 277.45

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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.