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Finding the Fourth Proportional to 214.64, 322.02 and 104.96

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Solution

The fourth proportional to 214.64, 322.02 and 104.96 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 322.02 = 104.96 : x
  2. Step 2: Convert to fraction form
    214.64/322.02 = 104.96/x
  3. Step 3: Cross multiply
    214.64x = 322.02 × 104.96
  4. Step 4: Simplify right side
    214.64x = 33,799.22
  5. Step 5: Solve for x
    x = 33,799.22/214.64
  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.