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Finding the Fourth Proportional to 205.30, 283.42 and 135.46

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Solution

The fourth proportional to 205.30, 283.42 and 135.46 is: 187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.30 : 283.42 = 135.46 : x
  2. Step 2: Convert to fraction form
    205.30/283.42 = 135.46/x
  3. Step 3: Cross multiply
    205.30x = 283.42 × 135.46
  4. Step 4: Simplify right side
    205.30x = 38,392.07
  5. Step 5: Solve for x
    x = 38,392.07/205.30
  6. Step 6: Final answer
    x = 187.00

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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.