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Finding the Fourth Proportional to 205.88, 284.16 and 135.95

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Solution

The fourth proportional to 205.88, 284.16 and 135.95 is: 187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 284.16 = 135.95 : x
  2. Step 2: Convert to fraction form
    205.88/284.16 = 135.95/x
  3. Step 3: Cross multiply
    205.88x = 284.16 × 135.95
  4. Step 4: Simplify right side
    205.88x = 38,630.16
  5. Step 5: Solve for x
    x = 38,630.16/205.88
  6. Step 6: Final answer
    x = 187.64

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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.