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Finding the Fourth Proportional to 214.30, 321.67 and 106.16

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Solution

The fourth proportional to 214.30, 321.67 and 106.16 is: 159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.30 : 321.67 = 106.16 : x
  2. Step 2: Convert to fraction form
    214.30/321.67 = 106.16/x
  3. Step 3: Cross multiply
    214.30x = 321.67 × 106.16
  4. Step 4: Simplify right side
    214.30x = 34,148.49
  5. Step 5: Solve for x
    x = 34,148.49/214.30
  6. Step 6: Final answer
    x = 159.35

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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.