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Finding the Fourth Proportional to 305.62, 458.37 and 100.33

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Solution

The fourth proportional to 305.62, 458.37 and 100.33 is: 150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.62 : 458.37 = 100.33 : x
  2. Step 2: Convert to fraction form
    305.62/458.37 = 100.33/x
  3. Step 3: Cross multiply
    305.62x = 458.37 × 100.33
  4. Step 4: Simplify right side
    305.62x = 45,988.26
  5. Step 5: Solve for x
    x = 45,988.26/305.62
  6. Step 6: Final answer
    x = 150.48

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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.