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Finding the Fourth Proportional to 205.40, 307.74 and 124.07

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Solution

The fourth proportional to 205.40, 307.74 and 124.07 is: 185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 307.74 = 124.07 : x
  2. Step 2: Convert to fraction form
    205.40/307.74 = 124.07/x
  3. Step 3: Cross multiply
    205.40x = 307.74 × 124.07
  4. Step 4: Simplify right side
    205.40x = 38,179.76
  5. Step 5: Solve for x
    x = 38,179.76/205.40
  6. Step 6: Final answer
    x = 185.88

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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.