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Finding the Fourth Proportional to 305.68, 458.49 and 100.25

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Solution

The fourth proportional to 305.68, 458.49 and 100.25 is: 150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.68 : 458.49 = 100.25 : x
  2. Step 2: Convert to fraction form
    305.68/458.49 = 100.25/x
  3. Step 3: Cross multiply
    305.68x = 458.49 × 100.25
  4. Step 4: Simplify right side
    305.68x = 45,963.12
  5. Step 5: Solve for x
    x = 45,963.12/305.68
  6. Step 6: Final answer
    x = 150.36

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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.