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Finding the Fourth Proportional to 214.64, 321.56 and 106.40

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Solution

The fourth proportional to 214.64, 321.56 and 106.40 is: 159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 321.56 = 106.40 : x
  2. Step 2: Convert to fraction form
    214.64/321.56 = 106.40/x
  3. Step 3: Cross multiply
    214.64x = 321.56 × 106.40
  4. Step 4: Simplify right side
    214.64x = 34,213.98
  5. Step 5: Solve for x
    x = 34,213.98/214.64
  6. Step 6: Final answer
    x = 159.40

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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.