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Finding the Fourth Proportional to 214.75, 322.06 and 105.00

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Solution

The fourth proportional to 214.75, 322.06 and 105.00 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.75 : 322.06 = 105.00 : x
  2. Step 2: Convert to fraction form
    214.75/322.06 = 105.00/x
  3. Step 3: Cross multiply
    214.75x = 322.06 × 105.00
  4. Step 4: Simplify right side
    214.75x = 33,817.43
  5. Step 5: Solve for x
    x = 33,817.43/214.75
  6. Step 6: Final answer
    x = 157.47

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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.