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Finding the Fourth Proportional to 205.02, 282.80 and 137.74

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Solution

The fourth proportional to 205.02, 282.80 and 137.74 is: 190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.02 : 282.80 = 137.74 : x
  2. Step 2: Convert to fraction form
    205.02/282.80 = 137.74/x
  3. Step 3: Cross multiply
    205.02x = 282.80 × 137.74
  4. Step 4: Simplify right side
    205.02x = 38,952.87
  5. Step 5: Solve for x
    x = 38,952.87/205.02
  6. Step 6: Final answer
    x = 190.00

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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.