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Finding the Fourth Proportional to 305.19, 457.18 and 247.12

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Solution

The fourth proportional to 305.19, 457.18 and 247.12 is: 370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.19 : 457.18 = 247.12 : x
  2. Step 2: Convert to fraction form
    305.19/457.18 = 247.12/x
  3. Step 3: Cross multiply
    305.19x = 457.18 × 247.12
  4. Step 4: Simplify right side
    305.19x = 112,976.56
  5. Step 5: Solve for x
    x = 112,976.56/305.19
  6. Step 6: Final answer
    x = 370.18

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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.