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Finding the Fourth Proportional to 205.84, 309.80 and 154.75

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Solution

The fourth proportional to 205.84, 309.80 and 154.75 is: 232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 309.80 = 154.75 : x
  2. Step 2: Convert to fraction form
    205.84/309.80 = 154.75/x
  3. Step 3: Cross multiply
    205.84x = 309.80 × 154.75
  4. Step 4: Simplify right side
    205.84x = 47,941.55
  5. Step 5: Solve for x
    x = 47,941.55/205.84
  6. Step 6: Final answer
    x = 232.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.