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Finding the Fourth Proportional to 235.06, 351.37 and 214.42

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Solution

The fourth proportional to 235.06, 351.37 and 214.42 is: 320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.06 : 351.37 = 214.42 : x
  2. Step 2: Convert to fraction form
    235.06/351.37 = 214.42/x
  3. Step 3: Cross multiply
    235.06x = 351.37 × 214.42
  4. Step 4: Simplify right side
    235.06x = 75,340.76
  5. Step 5: Solve for x
    x = 75,340.76/235.06
  6. Step 6: Final answer
    x = 320.52

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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.