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Finding the Fourth Proportional to 241.02, 332.43 and 178.83

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Solution

The fourth proportional to 241.02, 332.43 and 178.83 is: 246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.02 : 332.43 = 178.83 : x
  2. Step 2: Convert to fraction form
    241.02/332.43 = 178.83/x
  3. Step 3: Cross multiply
    241.02x = 332.43 × 178.83
  4. Step 4: Simplify right side
    241.02x = 59,448.46
  5. Step 5: Solve for x
    x = 59,448.46/241.02
  6. Step 6: Final answer
    x = 246.65

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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.