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Finding the Fourth Proportional to 214.64, 322 and 141.56

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Solution

The fourth proportional to 214.64, 322 and 141.56 is: 212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 322 = 141.56 : x
  2. Step 2: Convert to fraction form
    214.64/322 = 141.56/x
  3. Step 3: Cross multiply
    214.64x = 322 × 141.56
  4. Step 4: Simplify right side
    214.64x = 45,582.32
  5. Step 5: Solve for x
    x = 45,582.32/214.64
  6. Step 6: Final answer
    x = 212.37

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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.