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Finding the Fourth Proportional to 218.22, 325.47 and 214.58

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Solution

The fourth proportional to 218.22, 325.47 and 214.58 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.22 : 325.47 = 214.58 : x
  2. Step 2: Convert to fraction form
    218.22/325.47 = 214.58/x
  3. Step 3: Cross multiply
    218.22x = 325.47 × 214.58
  4. Step 4: Simplify right side
    218.22x = 69,837.73
  5. Step 5: Solve for x
    x = 69,837.73/218.22
  6. Step 6: Final answer
    x = 320.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.