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Finding the Fourth Proportional to 305.14, 457.72 and 110.09

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Solution

The fourth proportional to 305.14, 457.72 and 110.09 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.14 : 457.72 = 110.09 : x
  2. Step 2: Convert to fraction form
    305.14/457.72 = 110.09/x
  3. Step 3: Cross multiply
    305.14x = 457.72 × 110.09
  4. Step 4: Simplify right side
    305.14x = 50,387.83
  5. Step 5: Solve for x
    x = 50,387.83/305.14
  6. Step 6: Final answer
    x = 165.13

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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.