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Finding the Fourth Proportional to 179.65, 248.06 and 165.83

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Solution

The fourth proportional to 179.65, 248.06 and 165.83 is: 228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.65 : 248.06 = 165.83 : x
  2. Step 2: Convert to fraction form
    179.65/248.06 = 165.83/x
  3. Step 3: Cross multiply
    179.65x = 248.06 × 165.83
  4. Step 4: Simplify right side
    179.65x = 41,136.36
  5. Step 5: Solve for x
    x = 41,136.36/179.65
  6. Step 6: Final answer
    x = 228.98

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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.