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Finding the Fourth Proportional to 368.68, 553.17 and 195.34

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Solution

The fourth proportional to 368.68, 553.17 and 195.34 is: 293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.68 : 553.17 = 195.34 : x
  2. Step 2: Convert to fraction form
    368.68/553.17 = 195.34/x
  3. Step 3: Cross multiply
    368.68x = 553.17 × 195.34
  4. Step 4: Simplify right side
    368.68x = 108,056.23
  5. Step 5: Solve for x
    x = 108,056.23/368.68
  6. Step 6: Final answer
    x = 293.09

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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.