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Finding the Fourth Proportional to 214.32, 321.41 and 75.46

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Solution

The fourth proportional to 214.32, 321.41 and 75.46 is: 113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 321.41 = 75.46 : x
  2. Step 2: Convert to fraction form
    214.32/321.41 = 75.46/x
  3. Step 3: Cross multiply
    214.32x = 321.41 × 75.46
  4. Step 4: Simplify right side
    214.32x = 24,254.36
  5. Step 5: Solve for x
    x = 24,254.36/214.32
  6. Step 6: Final answer
    x = 113.17

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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.