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Finding the Fourth Proportional to 367.84, 551.80 and 185.08

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Solution

The fourth proportional to 367.84, 551.80 and 185.08 is: 277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 551.80 = 185.08 : x
  2. Step 2: Convert to fraction form
    367.84/551.80 = 185.08/x
  3. Step 3: Cross multiply
    367.84x = 551.80 × 185.08
  4. Step 4: Simplify right side
    367.84x = 102,127.14
  5. Step 5: Solve for x
    x = 102,127.14/367.84
  6. Step 6: Final answer
    x = 277.64

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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.