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Finding the Fourth Proportional to 305.86, 458.52 and 196.20

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Solution

The fourth proportional to 305.86, 458.52 and 196.20 is: 294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.86 : 458.52 = 196.20 : x
  2. Step 2: Convert to fraction form
    305.86/458.52 = 196.20/x
  3. Step 3: Cross multiply
    305.86x = 458.52 × 196.20
  4. Step 4: Simplify right side
    305.86x = 89,962.64
  5. Step 5: Solve for x
    x = 89,962.64/305.86
  6. Step 6: Final answer
    x = 294.13

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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.