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Finding the Fourth Proportional to 205.04, 284.48 and 200

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Solution

The fourth proportional to 205.04, 284.48 and 200 is: 277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.04 : 284.48 = 200 : x
  2. Step 2: Convert to fraction form
    205.04/284.48 = 200/x
  3. Step 3: Cross multiply
    205.04x = 284.48 × 200
  4. Step 4: Simplify right side
    205.04x = 56,896
  5. Step 5: Solve for x
    x = 56,896/205.04
  6. Step 6: Final answer
    x = 277.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.