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Finding the Fourth Proportional to 179.08, 268.66 and 102.04

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Solution

The fourth proportional to 179.08, 268.66 and 102.04 is: 153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.08 : 268.66 = 102.04 : x
  2. Step 2: Convert to fraction form
    179.08/268.66 = 102.04/x
  3. Step 3: Cross multiply
    179.08x = 268.66 × 102.04
  4. Step 4: Simplify right side
    179.08x = 27,414.07
  5. Step 5: Solve for x
    x = 27,414.07/179.08
  6. Step 6: Final answer
    x = 153.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.