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Finding the Fourth Proportional to 333.46, 500.21 and 102.34

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Solution

The fourth proportional to 333.46, 500.21 and 102.34 is: 153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.46 : 500.21 = 102.34 : x
  2. Step 2: Convert to fraction form
    333.46/500.21 = 102.34/x
  3. Step 3: Cross multiply
    333.46x = 500.21 × 102.34
  4. Step 4: Simplify right side
    333.46x = 51,191.49
  5. Step 5: Solve for x
    x = 51,191.49/333.46
  6. Step 6: Final answer
    x = 153.52

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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.