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Finding the Fourth Proportional to 366.88, 551.14 and 213.18

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Solution

The fourth proportional to 366.88, 551.14 and 213.18 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.88 : 551.14 = 213.18 : x
  2. Step 2: Convert to fraction form
    366.88/551.14 = 213.18/x
  3. Step 3: Cross multiply
    366.88x = 551.14 × 213.18
  4. Step 4: Simplify right side
    366.88x = 117,492.03
  5. Step 5: Solve for x
    x = 117,492.03/366.88
  6. Step 6: Final answer
    x = 320.25

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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.