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Finding the Fourth Proportional to 214.21, 322.62 and 188.86

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Solution

The fourth proportional to 214.21, 322.62 and 188.86 is: 284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.21 : 322.62 = 188.86 : x
  2. Step 2: Convert to fraction form
    214.21/322.62 = 188.86/x
  3. Step 3: Cross multiply
    214.21x = 322.62 × 188.86
  4. Step 4: Simplify right side
    214.21x = 60,930.01
  5. Step 5: Solve for x
    x = 60,930.01/214.21
  6. Step 6: Final answer
    x = 284.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.