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Finding the Fourth Proportional to 205.54, 308.00 and 118.67

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Solution

The fourth proportional to 205.54, 308.00 and 118.67 is: 177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.54 : 308.00 = 118.67 : x
  2. Step 2: Convert to fraction form
    205.54/308.00 = 118.67/x
  3. Step 3: Cross multiply
    205.54x = 308.00 × 118.67
  4. Step 4: Simplify right side
    205.54x = 36,549.12
  5. Step 5: Solve for x
    x = 36,549.12/205.54
  6. Step 6: Final answer
    x = 177.82

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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.