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Finding the Fourth Proportional to 368.70, 553.05 and 204.18

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Solution

The fourth proportional to 368.70, 553.05 and 204.18 is: 306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.70 : 553.05 = 204.18 : x
  2. Step 2: Convert to fraction form
    368.70/553.05 = 204.18/x
  3. Step 3: Cross multiply
    368.70x = 553.05 × 204.18
  4. Step 4: Simplify right side
    368.70x = 112,921.75
  5. Step 5: Solve for x
    x = 112,921.75/368.70
  6. Step 6: Final answer
    x = 306.27

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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.