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Finding the Fourth Proportional to 205.61, 308.61 and 178.67

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Solution

The fourth proportional to 205.61, 308.61 and 178.67 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.61 : 308.61 = 178.67 : x
  2. Step 2: Convert to fraction form
    205.61/308.61 = 178.67/x
  3. Step 3: Cross multiply
    205.61x = 308.61 × 178.67
  4. Step 4: Simplify right side
    205.61x = 55,140.12
  5. Step 5: Solve for x
    x = 55,140.12/205.61
  6. Step 6: Final answer
    x = 268.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.