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Finding the Fourth Proportional to 204.19, 305.98 and 125.83

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Solution

The fourth proportional to 204.19, 305.98 and 125.83 is: 188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 305.98 = 125.83 : x
  2. Step 2: Convert to fraction form
    204.19/305.98 = 125.83/x
  3. Step 3: Cross multiply
    204.19x = 305.98 × 125.83
  4. Step 4: Simplify right side
    204.19x = 38,501.46
  5. Step 5: Solve for x
    x = 38,501.46/204.19
  6. Step 6: Final answer
    x = 188.56

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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.