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Finding the Fourth Proportional to 268.59, 370.68 and 158.04

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Solution

The fourth proportional to 268.59, 370.68 and 158.04 is: 218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.59 : 370.68 = 158.04 : x
  2. Step 2: Convert to fraction form
    268.59/370.68 = 158.04/x
  3. Step 3: Cross multiply
    268.59x = 370.68 × 158.04
  4. Step 4: Simplify right side
    268.59x = 58,582.27
  5. Step 5: Solve for x
    x = 58,582.27/268.59
  6. Step 6: Final answer
    x = 218.11

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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.