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Finding the Fourth Proportional to 305.96, 459.14 and 113.59

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Solution

The fourth proportional to 305.96, 459.14 and 113.59 is: 170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 459.14 = 113.59 : x
  2. Step 2: Convert to fraction form
    305.96/459.14 = 113.59/x
  3. Step 3: Cross multiply
    305.96x = 459.14 × 113.59
  4. Step 4: Simplify right side
    305.96x = 52,153.71
  5. Step 5: Solve for x
    x = 52,153.71/305.96
  6. Step 6: Final answer
    x = 170.46

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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.