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Finding the Fourth Proportional to 305.96, 458.82 and 100.47

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Solution

The fourth proportional to 305.96, 458.82 and 100.47 is: 150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 458.82 = 100.47 : x
  2. Step 2: Convert to fraction form
    305.96/458.82 = 100.47/x
  3. Step 3: Cross multiply
    305.96x = 458.82 × 100.47
  4. Step 4: Simplify right side
    305.96x = 46,099.37
  5. Step 5: Solve for x
    x = 46,099.37/305.96
  6. Step 6: Final answer
    x = 150.67

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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.