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Finding the Fourth Proportional to 280.66, 387.04 and 214.15

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Solution

The fourth proportional to 280.66, 387.04 and 214.15 is: 295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.66 : 387.04 = 214.15 : x
  2. Step 2: Convert to fraction form
    280.66/387.04 = 214.15/x
  3. Step 3: Cross multiply
    280.66x = 387.04 × 214.15
  4. Step 4: Simplify right side
    280.66x = 82,883.64
  5. Step 5: Solve for x
    x = 82,883.64/280.66
  6. Step 6: Final answer
    x = 295.32

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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.