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Finding the Fourth Proportional to 166.22, 248.58 and 162.38

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Solution

The fourth proportional to 166.22, 248.58 and 162.38 is: 242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.22 : 248.58 = 162.38 : x
  2. Step 2: Convert to fraction form
    166.22/248.58 = 162.38/x
  3. Step 3: Cross multiply
    166.22x = 248.58 × 162.38
  4. Step 4: Simplify right side
    166.22x = 40,364.42
  5. Step 5: Solve for x
    x = 40,364.42/166.22
  6. Step 6: Final answer
    x = 242.84

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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.