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Finding the Fourth Proportional to 268.92, 370.98 and 158.40

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Solution

The fourth proportional to 268.92, 370.98 and 158.40 is: 218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.92 : 370.98 = 158.40 : x
  2. Step 2: Convert to fraction form
    268.92/370.98 = 158.40/x
  3. Step 3: Cross multiply
    268.92x = 370.98 × 158.40
  4. Step 4: Simplify right side
    268.92x = 58,763.23
  5. Step 5: Solve for x
    x = 58,763.23/268.92
  6. Step 6: Final answer
    x = 218.52

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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.