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Finding the Fourth Proportional to 301.70, 416.54 and 214.22

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Solution

The fourth proportional to 301.70, 416.54 and 214.22 is: 295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.70 : 416.54 = 214.22 : x
  2. Step 2: Convert to fraction form
    301.70/416.54 = 214.22/x
  3. Step 3: Cross multiply
    301.70x = 416.54 × 214.22
  4. Step 4: Simplify right side
    301.70x = 89,228.05
  5. Step 5: Solve for x
    x = 89,228.05/301.70
  6. Step 6: Final answer
    x = 295.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.