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Finding the Fourth Proportional to 368.45, 551.69 and 194.76

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Solution

The fourth proportional to 368.45, 551.69 and 194.76 is: 291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.45 : 551.69 = 194.76 : x
  2. Step 2: Convert to fraction form
    368.45/551.69 = 194.76/x
  3. Step 3: Cross multiply
    368.45x = 551.69 × 194.76
  4. Step 4: Simplify right side
    368.45x = 107,447.63
  5. Step 5: Solve for x
    x = 107,447.63/368.45
  6. Step 6: Final answer
    x = 291.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.