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Finding the Fourth Proportional to 214.13, 321.20 and 145.64

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Solution

The fourth proportional to 214.13, 321.20 and 145.64 is: 218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 321.20 = 145.64 : x
  2. Step 2: Convert to fraction form
    214.13/321.20 = 145.64/x
  3. Step 3: Cross multiply
    214.13x = 321.20 × 145.64
  4. Step 4: Simplify right side
    214.13x = 46,777.23
  5. Step 5: Solve for x
    x = 46,777.23/214.13
  6. Step 6: Final answer
    x = 218.46

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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.