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Finding the Fourth Proportional to 305.76, 458.94 and 169.06

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Solution

The fourth proportional to 305.76, 458.94 and 169.06 is: 253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 458.94 = 169.06 : x
  2. Step 2: Convert to fraction form
    305.76/458.94 = 169.06/x
  3. Step 3: Cross multiply
    305.76x = 458.94 × 169.06
  4. Step 4: Simplify right side
    305.76x = 77,588.40
  5. Step 5: Solve for x
    x = 77,588.40/305.76
  6. Step 6: Final answer
    x = 253.76

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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.