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Finding the Fourth Proportional to 214.84, 295.95 and 203.86

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Solution

The fourth proportional to 214.84, 295.95 and 203.86 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.84 : 295.95 = 203.86 : x
  2. Step 2: Convert to fraction form
    214.84/295.95 = 203.86/x
  3. Step 3: Cross multiply
    214.84x = 295.95 × 203.86
  4. Step 4: Simplify right side
    214.84x = 60,332.37
  5. Step 5: Solve for x
    x = 60,332.37/214.84
  6. Step 6: Final answer
    x = 280.82

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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.