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Finding the Fourth Proportional to 162.45, 241.97 and 146.04

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Solution

The fourth proportional to 162.45, 241.97 and 146.04 is: 217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.45 : 241.97 = 146.04 : x
  2. Step 2: Convert to fraction form
    162.45/241.97 = 146.04/x
  3. Step 3: Cross multiply
    162.45x = 241.97 × 146.04
  4. Step 4: Simplify right side
    162.45x = 35,336.57
  5. Step 5: Solve for x
    x = 35,336.57/162.45
  6. Step 6: Final answer
    x = 217.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.