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Finding the Fourth Proportional to 205.95, 309.23 and 125.13

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Solution

The fourth proportional to 205.95, 309.23 and 125.13 is: 187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.95 : 309.23 = 125.13 : x
  2. Step 2: Convert to fraction form
    205.95/309.23 = 125.13/x
  3. Step 3: Cross multiply
    205.95x = 309.23 × 125.13
  4. Step 4: Simplify right side
    205.95x = 38,693.32
  5. Step 5: Solve for x
    x = 38,693.32/205.95
  6. Step 6: Final answer
    x = 187.88

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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.