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Finding the Fourth Proportional to 270.05, 372.84 and 214.26

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Solution

The fourth proportional to 270.05, 372.84 and 214.26 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.05 : 372.84 = 214.26 : x
  2. Step 2: Convert to fraction form
    270.05/372.84 = 214.26/x
  3. Step 3: Cross multiply
    270.05x = 372.84 × 214.26
  4. Step 4: Simplify right side
    270.05x = 79,886.50
  5. Step 5: Solve for x
    x = 79,886.50/270.05
  6. Step 6: Final answer
    x = 295.82

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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.