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Finding the Fourth Proportional to 268.74, 370.77 and 170.40

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Solution

The fourth proportional to 268.74, 370.77 and 170.40 is: 235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.74 : 370.77 = 170.40 : x
  2. Step 2: Convert to fraction form
    268.74/370.77 = 170.40/x
  3. Step 3: Cross multiply
    268.74x = 370.77 × 170.40
  4. Step 4: Simplify right side
    268.74x = 63,179.21
  5. Step 5: Solve for x
    x = 63,179.21/268.74
  6. Step 6: Final answer
    x = 235.09

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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.