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Finding the Fourth Proportional to 241.08, 332.66 and 137.58

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Solution

The fourth proportional to 241.08, 332.66 and 137.58 is: 189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.08 : 332.66 = 137.58 : x
  2. Step 2: Convert to fraction form
    241.08/332.66 = 137.58/x
  3. Step 3: Cross multiply
    241.08x = 332.66 × 137.58
  4. Step 4: Simplify right side
    241.08x = 45,767.36
  5. Step 5: Solve for x
    x = 45,767.36/241.08
  6. Step 6: Final answer
    x = 189.84

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