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Finding the Fourth Proportional to 280.18, 386.52 and 214.57

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Solution

The fourth proportional to 280.18, 386.52 and 214.57 is: 296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.18 : 386.52 = 214.57 : x
  2. Step 2: Convert to fraction form
    280.18/386.52 = 214.57/x
  3. Step 3: Cross multiply
    280.18x = 386.52 × 214.57
  4. Step 4: Simplify right side
    280.18x = 82,932.59
  5. Step 5: Solve for x
    x = 82,932.59/280.18
  6. Step 6: Final answer
    x = 296.00

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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.