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Finding the Fourth Proportional to 368.55, 551.95 and 185.49

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Solution

The fourth proportional to 368.55, 551.95 and 185.49 is: 277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.55 : 551.95 = 185.49 : x
  2. Step 2: Convert to fraction form
    368.55/551.95 = 185.49/x
  3. Step 3: Cross multiply
    368.55x = 551.95 × 185.49
  4. Step 4: Simplify right side
    368.55x = 102,380.74
  5. Step 5: Solve for x
    x = 102,380.74/368.55
  6. Step 6: Final answer
    x = 277.79

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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.