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Finding the Fourth Proportional to 305.42, 458.17 and 122.80

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Solution

The fourth proportional to 305.42, 458.17 and 122.80 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 458.17 = 122.80 : x
  2. Step 2: Convert to fraction form
    305.42/458.17 = 122.80/x
  3. Step 3: Cross multiply
    305.42x = 458.17 × 122.80
  4. Step 4: Simplify right side
    305.42x = 56,261.82
  5. Step 5: Solve for x
    x = 56,261.82/305.42
  6. Step 6: Final answer
    x = 184.21

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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.