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Finding the Fourth Proportional to 305.94, 458.21 and 184.06

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Solution

The fourth proportional to 305.94, 458.21 and 184.06 is: 275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.94 : 458.21 = 184.06 : x
  2. Step 2: Convert to fraction form
    305.94/458.21 = 184.06/x
  3. Step 3: Cross multiply
    305.94x = 458.21 × 184.06
  4. Step 4: Simplify right side
    305.94x = 84,336.07
  5. Step 5: Solve for x
    x = 84,336.07/305.94
  6. Step 6: Final answer
    x = 275.66

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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.