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Finding the Fourth Proportional to 214.96, 321.08 and 202.48

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Solution

The fourth proportional to 214.96, 321.08 and 202.48 is: 302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 321.08 = 202.48 : x
  2. Step 2: Convert to fraction form
    214.96/321.08 = 202.48/x
  3. Step 3: Cross multiply
    214.96x = 321.08 × 202.48
  4. Step 4: Simplify right side
    214.96x = 65,012.28
  5. Step 5: Solve for x
    x = 65,012.28/214.96
  6. Step 6: Final answer
    x = 302.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.