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Finding the Fourth Proportional to 305.65, 458.49 and 100.19

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Solution

The fourth proportional to 305.65, 458.49 and 100.19 is: 150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 458.49 = 100.19 : x
  2. Step 2: Convert to fraction form
    305.65/458.49 = 100.19/x
  3. Step 3: Cross multiply
    305.65x = 458.49 × 100.19
  4. Step 4: Simplify right side
    305.65x = 45,936.11
  5. Step 5: Solve for x
    x = 45,936.11/305.65
  6. Step 6: Final answer
    x = 150.29

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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.