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Finding the Fourth Proportional to 241.36, 332.92 and 166.58

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Solution

The fourth proportional to 241.36, 332.92 and 166.58 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.36 : 332.92 = 166.58 : x
  2. Step 2: Convert to fraction form
    241.36/332.92 = 166.58/x
  3. Step 3: Cross multiply
    241.36x = 332.92 × 166.58
  4. Step 4: Simplify right side
    241.36x = 55,457.81
  5. Step 5: Solve for x
    x = 55,457.81/241.36
  6. Step 6: Final answer
    x = 229.77

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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.