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Finding the Fourth Proportional to 241.53, 360.86 and 149.50

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Solution

The fourth proportional to 241.53, 360.86 and 149.50 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.53 : 360.86 = 149.50 : x
  2. Step 2: Convert to fraction form
    241.53/360.86 = 149.50/x
  3. Step 3: Cross multiply
    241.53x = 360.86 × 149.50
  4. Step 4: Simplify right side
    241.53x = 53,948.57
  5. Step 5: Solve for x
    x = 53,948.57/241.53
  6. Step 6: Final answer
    x = 223.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.