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Finding the Fourth Proportional to 214.63, 322.25 and 133.23

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Solution

The fourth proportional to 214.63, 322.25 and 133.23 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.63 : 322.25 = 133.23 : x
  2. Step 2: Convert to fraction form
    214.63/322.25 = 133.23/x
  3. Step 3: Cross multiply
    214.63x = 322.25 × 133.23
  4. Step 4: Simplify right side
    214.63x = 42,933.37
  5. Step 5: Solve for x
    x = 42,933.37/214.63
  6. Step 6: Final answer
    x = 200.03

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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.