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Finding the Fourth Proportional to 305.30, 457.78 and 164.40

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Solution

The fourth proportional to 305.30, 457.78 and 164.40 is: 246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.30 : 457.78 = 164.40 : x
  2. Step 2: Convert to fraction form
    305.30/457.78 = 164.40/x
  3. Step 3: Cross multiply
    305.30x = 457.78 × 164.40
  4. Step 4: Simplify right side
    305.30x = 75,259.03
  5. Step 5: Solve for x
    x = 75,259.03/305.30
  6. Step 6: Final answer
    x = 246.51

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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.