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Finding the Fourth Proportional to 305.08, 457.33 and 112.66

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Solution

The fourth proportional to 305.08, 457.33 and 112.66 is: 168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.08 : 457.33 = 112.66 : x
  2. Step 2: Convert to fraction form
    305.08/457.33 = 112.66/x
  3. Step 3: Cross multiply
    305.08x = 457.33 × 112.66
  4. Step 4: Simplify right side
    305.08x = 51,522.80
  5. Step 5: Solve for x
    x = 51,522.80/305.08
  6. Step 6: Final answer
    x = 168.88

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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.