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Finding the Fourth Proportional to 368.62, 552.04 and 214.22

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Solution

The fourth proportional to 368.62, 552.04 and 214.22 is: 320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.62 : 552.04 = 214.22 : x
  2. Step 2: Convert to fraction form
    368.62/552.04 = 214.22/x
  3. Step 3: Cross multiply
    368.62x = 552.04 × 214.22
  4. Step 4: Simplify right side
    368.62x = 118,258.01
  5. Step 5: Solve for x
    x = 118,258.01/368.62
  6. Step 6: Final answer
    x = 320.81

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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.