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Finding the Fourth Proportional to 280.32, 418.87 and 214.07

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Solution

The fourth proportional to 280.32, 418.87 and 214.07 is: 319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 418.87 = 214.07 : x
  2. Step 2: Convert to fraction form
    280.32/418.87 = 214.07/x
  3. Step 3: Cross multiply
    280.32x = 418.87 × 214.07
  4. Step 4: Simplify right side
    280.32x = 89,664.87
  5. Step 5: Solve for x
    x = 89,664.87/280.32
  6. Step 6: Final answer
    x = 319.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.