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Finding the Fourth Proportional to 368.37, 552.05 and 214.09

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Solution

The fourth proportional to 368.37, 552.05 and 214.09 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.37 : 552.05 = 214.09 : x
  2. Step 2: Convert to fraction form
    368.37/552.05 = 214.09/x
  3. Step 3: Cross multiply
    368.37x = 552.05 × 214.09
  4. Step 4: Simplify right side
    368.37x = 118,185.90
  5. Step 5: Solve for x
    x = 118,185.90/368.37
  6. Step 6: Final answer
    x = 320.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.