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Finding the Fourth Proportional to 268.13, 369.83 and 174.95

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Solution

The fourth proportional to 268.13, 369.83 and 174.95 is: 241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.13 : 369.83 = 174.95 : x
  2. Step 2: Convert to fraction form
    268.13/369.83 = 174.95/x
  3. Step 3: Cross multiply
    268.13x = 369.83 × 174.95
  4. Step 4: Simplify right side
    268.13x = 64,703.81
  5. Step 5: Solve for x
    x = 64,703.81/268.13
  6. Step 6: Final answer
    x = 241.32

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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.