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Finding the Fourth Proportional to 368.02, 550.93 and 205.30

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Solution

The fourth proportional to 368.02, 550.93 and 205.30 is: 307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.02 : 550.93 = 205.30 : x
  2. Step 2: Convert to fraction form
    368.02/550.93 = 205.30/x
  3. Step 3: Cross multiply
    368.02x = 550.93 × 205.30
  4. Step 4: Simplify right side
    368.02x = 113,105.93
  5. Step 5: Solve for x
    x = 113,105.93/368.02
  6. Step 6: Final answer
    x = 307.34

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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.