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Finding the Fourth Proportional to 204.59, 306.83 and 101.80

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Solution

The fourth proportional to 204.59, 306.83 and 101.80 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.59 : 306.83 = 101.80 : x
  2. Step 2: Convert to fraction form
    204.59/306.83 = 101.80/x
  3. Step 3: Cross multiply
    204.59x = 306.83 × 101.80
  4. Step 4: Simplify right side
    204.59x = 31,233.63
  5. Step 5: Solve for x
    x = 31,233.63/204.59
  6. Step 6: Final answer
    x = 152.67

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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.