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Finding the Fourth Proportional to 333.70, 500.86 and 141.46

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Solution

The fourth proportional to 333.70, 500.86 and 141.46 is: 212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.70 : 500.86 = 141.46 : x
  2. Step 2: Convert to fraction form
    333.70/500.86 = 141.46/x
  3. Step 3: Cross multiply
    333.70x = 500.86 × 141.46
  4. Step 4: Simplify right side
    333.70x = 70,851.66
  5. Step 5: Solve for x
    x = 70,851.66/333.70
  6. Step 6: Final answer
    x = 212.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.