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Finding the Fourth Proportional to 305.06, 457.46 and 110.02

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Solution

The fourth proportional to 305.06, 457.46 and 110.02 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.06 : 457.46 = 110.02 : x
  2. Step 2: Convert to fraction form
    305.06/457.46 = 110.02/x
  3. Step 3: Cross multiply
    305.06x = 457.46 × 110.02
  4. Step 4: Simplify right side
    305.06x = 50,329.75
  5. Step 5: Solve for x
    x = 50,329.75/305.06
  6. Step 6: Final answer
    x = 164.99

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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.