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Finding the Fourth Proportional to 305.52, 458.46 and 100.24

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Solution

The fourth proportional to 305.52, 458.46 and 100.24 is: 150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.52 : 458.46 = 100.24 : x
  2. Step 2: Convert to fraction form
    305.52/458.46 = 100.24/x
  3. Step 3: Cross multiply
    305.52x = 458.46 × 100.24
  4. Step 4: Simplify right side
    305.52x = 45,956.03
  5. Step 5: Solve for x
    x = 45,956.03/305.52
  6. Step 6: Final answer
    x = 150.42

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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.