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Finding the Fourth Proportional to 205.65, 283.84 and 135.72

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Solution

The fourth proportional to 205.65, 283.84 and 135.72 is: 187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.65 : 283.84 = 135.72 : x
  2. Step 2: Convert to fraction form
    205.65/283.84 = 135.72/x
  3. Step 3: Cross multiply
    205.65x = 283.84 × 135.72
  4. Step 4: Simplify right side
    205.65x = 38,522.43
  5. Step 5: Solve for x
    x = 38,522.43/205.65
  6. Step 6: Final answer
    x = 187.32

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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.