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Finding the Fourth Proportional to 368.07, 552.19 and 214.13

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Solution

The fourth proportional to 368.07, 552.19 and 214.13 is: 321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.07 : 552.19 = 214.13 : x
  2. Step 2: Convert to fraction form
    368.07/552.19 = 214.13/x
  3. Step 3: Cross multiply
    368.07x = 552.19 × 214.13
  4. Step 4: Simplify right side
    368.07x = 118,240.44
  5. Step 5: Solve for x
    x = 118,240.44/368.07
  6. Step 6: Final answer
    x = 321.24

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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.