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Finding the Fourth Proportional to 235.60, 351.47 and 219.02

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Solution

The fourth proportional to 235.60, 351.47 and 219.02 is: 326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.60 : 351.47 = 219.02 : x
  2. Step 2: Convert to fraction form
    235.60/351.47 = 219.02/x
  3. Step 3: Cross multiply
    235.60x = 351.47 × 219.02
  4. Step 4: Simplify right side
    235.60x = 76,978.96
  5. Step 5: Solve for x
    x = 76,978.96/235.60
  6. Step 6: Final answer
    x = 326.74

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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.