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Finding the Fourth Proportional to 368.56, 553.02 and 206.29

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Solution

The fourth proportional to 368.56, 553.02 and 206.29 is: 309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.56 : 553.02 = 206.29 : x
  2. Step 2: Convert to fraction form
    368.56/553.02 = 206.29/x
  3. Step 3: Cross multiply
    368.56x = 553.02 × 206.29
  4. Step 4: Simplify right side
    368.56x = 114,082.50
  5. Step 5: Solve for x
    x = 114,082.50/368.56
  6. Step 6: Final answer
    x = 309.54

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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.