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Finding the Fourth Proportional to 333.05, 499.23 and 188.46

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Solution

The fourth proportional to 333.05, 499.23 and 188.46 is: 282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.05 : 499.23 = 188.46 : x
  2. Step 2: Convert to fraction form
    333.05/499.23 = 188.46/x
  3. Step 3: Cross multiply
    333.05x = 499.23 × 188.46
  4. Step 4: Simplify right side
    333.05x = 94,084.89
  5. Step 5: Solve for x
    x = 94,084.89/333.05
  6. Step 6: Final answer
    x = 282.50

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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.