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Finding the Fourth Proportional to 305.94, 459.10 and 123.31

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Solution

The fourth proportional to 305.94, 459.10 and 123.31 is: 185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.94 : 459.10 = 123.31 : x
  2. Step 2: Convert to fraction form
    305.94/459.10 = 123.31/x
  3. Step 3: Cross multiply
    305.94x = 459.10 × 123.31
  4. Step 4: Simplify right side
    305.94x = 56,611.62
  5. Step 5: Solve for x
    x = 56,611.62/305.94
  6. Step 6: Final answer
    x = 185.04

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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.