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Finding the Fourth Proportional to 268.74, 370.65 and 175.41

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Solution

The fourth proportional to 268.74, 370.65 and 175.41 is: 241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.74 : 370.65 = 175.41 : x
  2. Step 2: Convert to fraction form
    268.74/370.65 = 175.41/x
  3. Step 3: Cross multiply
    268.74x = 370.65 × 175.41
  4. Step 4: Simplify right side
    268.74x = 65,015.72
  5. Step 5: Solve for x
    x = 65,015.72/268.74
  6. Step 6: Final answer
    x = 241.93

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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.