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Finding the Fourth Proportional to 280.33, 386.00 and 214

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Solution

The fourth proportional to 280.33, 386.00 and 214 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.33 : 386.00 = 214 : x
  2. Step 2: Convert to fraction form
    280.33/386.00 = 214/x
  3. Step 3: Cross multiply
    280.33x = 386.00 × 214
  4. Step 4: Simplify right side
    280.33x = 82,602.93
  5. Step 5: Solve for x
    x = 82,602.93/280.33
  6. Step 6: Final answer
    x = 294.66

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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.