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Finding the Fourth Proportional to 368.56, 551.65 and 194.98

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Solution

The fourth proportional to 368.56, 551.65 and 194.98 is: 291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.56 : 551.65 = 194.98 : x
  2. Step 2: Convert to fraction form
    368.56/551.65 = 194.98/x
  3. Step 3: Cross multiply
    368.56x = 551.65 × 194.98
  4. Step 4: Simplify right side
    368.56x = 107,560.72
  5. Step 5: Solve for x
    x = 107,560.72/368.56
  6. Step 6: Final answer
    x = 291.84

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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.