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Finding the Fourth Proportional to 268.60, 370 and 194.72

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Solution

The fourth proportional to 268.60, 370 and 194.72 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.60 : 370 = 194.72 : x
  2. Step 2: Convert to fraction form
    268.60/370 = 194.72/x
  3. Step 3: Cross multiply
    268.60x = 370 × 194.72
  4. Step 4: Simplify right side
    268.60x = 72,046.40
  5. Step 5: Solve for x
    x = 72,046.40/268.60
  6. Step 6: Final answer
    x = 268.23

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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.