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Finding the Fourth Proportional to 305.75, 458.37 and 100.21

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Solution

The fourth proportional to 305.75, 458.37 and 100.21 is: 150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 458.37 = 100.21 : x
  2. Step 2: Convert to fraction form
    305.75/458.37 = 100.21/x
  3. Step 3: Cross multiply
    305.75x = 458.37 × 100.21
  4. Step 4: Simplify right side
    305.75x = 45,930.46
  5. Step 5: Solve for x
    x = 45,930.46/305.75
  6. Step 6: Final answer
    x = 150.22

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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.