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Finding the Fourth Proportional to 205.61, 284.06 and 174.84

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Solution

The fourth proportional to 205.61, 284.06 and 174.84 is: 241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.61 : 284.06 = 174.84 : x
  2. Step 2: Convert to fraction form
    205.61/284.06 = 174.84/x
  3. Step 3: Cross multiply
    205.61x = 284.06 × 174.84
  4. Step 4: Simplify right side
    205.61x = 49,664.18
  5. Step 5: Solve for x
    x = 49,664.18/205.61
  6. Step 6: Final answer
    x = 241.55

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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.