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Finding the Fourth Proportional to 305.22, 457.86 and 142.82

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Solution

The fourth proportional to 305.22, 457.86 and 142.82 is: 214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.22 : 457.86 = 142.82 : x
  2. Step 2: Convert to fraction form
    305.22/457.86 = 142.82/x
  3. Step 3: Cross multiply
    305.22x = 457.86 × 142.82
  4. Step 4: Simplify right side
    305.22x = 65,388.56
  5. Step 5: Solve for x
    x = 65,388.56/305.22
  6. Step 6: Final answer
    x = 214.23

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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.