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Finding the Fourth Proportional to 305.98, 458.15 and 184.07

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Solution

The fourth proportional to 305.98, 458.15 and 184.07 is: 275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.98 : 458.15 = 184.07 : x
  2. Step 2: Convert to fraction form
    305.98/458.15 = 184.07/x
  3. Step 3: Cross multiply
    305.98x = 458.15 × 184.07
  4. Step 4: Simplify right side
    305.98x = 84,331.67
  5. Step 5: Solve for x
    x = 84,331.67/305.98
  6. Step 6: Final answer
    x = 275.62

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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.