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Finding the Fourth Proportional to 305.20, 457.33 and 148.85

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Solution

The fourth proportional to 305.20, 457.33 and 148.85 is: 223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.20 : 457.33 = 148.85 : x
  2. Step 2: Convert to fraction form
    305.20/457.33 = 148.85/x
  3. Step 3: Cross multiply
    305.20x = 457.33 × 148.85
  4. Step 4: Simplify right side
    305.20x = 68,073.57
  5. Step 5: Solve for x
    x = 68,073.57/305.20
  6. Step 6: Final answer
    x = 223.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.