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Finding the Fourth Proportional to 179, 246.97 and 105.30

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Solution

The fourth proportional to 179, 246.97 and 105.30 is: 145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179 : 246.97 = 105.30 : x
  2. Step 2: Convert to fraction form
    179/246.97 = 105.30/x
  3. Step 3: Cross multiply
    179x = 246.97 × 105.30
  4. Step 4: Simplify right side
    179x = 26,005.94
  5. Step 5: Solve for x
    x = 26,005.94/179
  6. Step 6: Final answer
    x = 145.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.