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Finding the Fourth Proportional to 205.81, 284.05 and 153.70

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Solution

The fourth proportional to 205.81, 284.05 and 153.70 is: 212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.81 : 284.05 = 153.70 : x
  2. Step 2: Convert to fraction form
    205.81/284.05 = 153.70/x
  3. Step 3: Cross multiply
    205.81x = 284.05 × 153.70
  4. Step 4: Simplify right side
    205.81x = 43,658.49
  5. Step 5: Solve for x
    x = 43,658.49/205.81
  6. Step 6: Final answer
    x = 212.13

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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.