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Finding the Fourth Proportional to 368.55, 552.10 and 214.09

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Solution

The fourth proportional to 368.55, 552.10 and 214.09 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.55 : 552.10 = 214.09 : x
  2. Step 2: Convert to fraction form
    368.55/552.10 = 214.09/x
  3. Step 3: Cross multiply
    368.55x = 552.10 × 214.09
  4. Step 4: Simplify right side
    368.55x = 118,199.09
  5. Step 5: Solve for x
    x = 118,199.09/368.55
  6. Step 6: Final answer
    x = 320.71

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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.