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Finding the Fourth Proportional to 241.12, 332.76 and 185.76

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Solution

The fourth proportional to 241.12, 332.76 and 185.76 is: 256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.12 : 332.76 = 185.76 : x
  2. Step 2: Convert to fraction form
    241.12/332.76 = 185.76/x
  3. Step 3: Cross multiply
    241.12x = 332.76 × 185.76
  4. Step 4: Simplify right side
    241.12x = 61,813.50
  5. Step 5: Solve for x
    x = 61,813.50/241.12
  6. Step 6: Final answer
    x = 256.36

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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.