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Finding the Fourth Proportional to 368.55, 552.21 and 194.97

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Solution

The fourth proportional to 368.55, 552.21 and 194.97 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.55 : 552.21 = 194.97 : x
  2. Step 2: Convert to fraction form
    368.55/552.21 = 194.97/x
  3. Step 3: Cross multiply
    368.55x = 552.21 × 194.97
  4. Step 4: Simplify right side
    368.55x = 107,664.38
  5. Step 5: Solve for x
    x = 107,664.38/368.55
  6. Step 6: Final answer
    x = 292.13

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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.