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Finding the Fourth Proportional to 241.10, 332.62 and 178.23

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Solution

The fourth proportional to 241.10, 332.62 and 178.23 is: 245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.10 : 332.62 = 178.23 : x
  2. Step 2: Convert to fraction form
    241.10/332.62 = 178.23/x
  3. Step 3: Cross multiply
    241.10x = 332.62 × 178.23
  4. Step 4: Simplify right side
    241.10x = 59,284.67
  5. Step 5: Solve for x
    x = 59,284.67/241.10
  6. Step 6: Final answer
    x = 245.89

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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.