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Finding the Fourth Proportional to 305.78, 459.07 and 184.28

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Solution

The fourth proportional to 305.78, 459.07 and 184.28 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.78 : 459.07 = 184.28 : x
  2. Step 2: Convert to fraction form
    305.78/459.07 = 184.28/x
  3. Step 3: Cross multiply
    305.78x = 459.07 × 184.28
  4. Step 4: Simplify right side
    305.78x = 84,594.66
  5. Step 5: Solve for x
    x = 84,594.66/305.78
  6. Step 6: Final answer
    x = 276.66

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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.