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Finding the Fourth Proportional to 305.80, 458.16 and 184.12

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Solution

The fourth proportional to 305.80, 458.16 and 184.12 is: 275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.80 : 458.16 = 184.12 : x
  2. Step 2: Convert to fraction form
    305.80/458.16 = 184.12/x
  3. Step 3: Cross multiply
    305.80x = 458.16 × 184.12
  4. Step 4: Simplify right side
    305.80x = 84,356.42
  5. Step 5: Solve for x
    x = 84,356.42/305.80
  6. Step 6: Final answer
    x = 275.85

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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.