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Finding the Fourth Proportional to 305.28, 458.06 and 142.92

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Solution

The fourth proportional to 305.28, 458.06 and 142.92 is: 214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.28 : 458.06 = 142.92 : x
  2. Step 2: Convert to fraction form
    305.28/458.06 = 142.92/x
  3. Step 3: Cross multiply
    305.28x = 458.06 × 142.92
  4. Step 4: Simplify right side
    305.28x = 65,465.22
  5. Step 5: Solve for x
    x = 65,465.22/305.28
  6. Step 6: Final answer
    x = 214.44

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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.