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Finding the Fourth Proportional to 368.36, 551.96 and 185.88

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Solution

The fourth proportional to 368.36, 551.96 and 185.88 is: 278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.36 : 551.96 = 185.88 : x
  2. Step 2: Convert to fraction form
    368.36/551.96 = 185.88/x
  3. Step 3: Cross multiply
    368.36x = 551.96 × 185.88
  4. Step 4: Simplify right side
    368.36x = 102,597.40
  5. Step 5: Solve for x
    x = 102,597.40/368.36
  6. Step 6: Final answer
    x = 278.53

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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.