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Finding the Fourth Proportional to 333.05, 459.50 and 193.13

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Solution

The fourth proportional to 333.05, 459.50 and 193.13 is: 266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.05 : 459.50 = 193.13 : x
  2. Step 2: Convert to fraction form
    333.05/459.50 = 193.13/x
  3. Step 3: Cross multiply
    333.05x = 459.50 × 193.13
  4. Step 4: Simplify right side
    333.05x = 88,741.69
  5. Step 5: Solve for x
    x = 88,741.69/333.05
  6. Step 6: Final answer
    x = 266.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.