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Finding the Fourth Proportional to 270.32, 372.54 and 212

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Solution

The fourth proportional to 270.32, 372.54 and 212 is: 292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.32 : 372.54 = 212 : x
  2. Step 2: Convert to fraction form
    270.32/372.54 = 212/x
  3. Step 3: Cross multiply
    270.32x = 372.54 × 212
  4. Step 4: Simplify right side
    270.32x = 78,978.48
  5. Step 5: Solve for x
    x = 78,978.48/270.32
  6. Step 6: Final answer
    x = 292.17

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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.