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Finding the Fourth Proportional to 179.16, 268.64 and 107.07

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Solution

The fourth proportional to 179.16, 268.64 and 107.07 is: 160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.16 : 268.64 = 107.07 : x
  2. Step 2: Convert to fraction form
    179.16/268.64 = 107.07/x
  3. Step 3: Cross multiply
    179.16x = 268.64 × 107.07
  4. Step 4: Simplify right side
    179.16x = 28,762.75
  5. Step 5: Solve for x
    x = 28,762.75/179.16
  6. Step 6: Final answer
    x = 160.54

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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.