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Finding the Fourth Proportional to 176.99, 265.44 and 119.04

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Solution

The fourth proportional to 176.99, 265.44 and 119.04 is: 178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.99 : 265.44 = 119.04 : x
  2. Step 2: Convert to fraction form
    176.99/265.44 = 119.04/x
  3. Step 3: Cross multiply
    176.99x = 265.44 × 119.04
  4. Step 4: Simplify right side
    176.99x = 31,597.43
  5. Step 5: Solve for x
    x = 31,597.43/176.99
  6. Step 6: Final answer
    x = 178.53

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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.