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Finding the Fourth Proportional to 176.99, 265.07 and 116.12

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Solution

The fourth proportional to 176.99, 265.07 and 116.12 is: 173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.99 : 265.07 = 116.12 : x
  2. Step 2: Convert to fraction form
    176.99/265.07 = 116.12/x
  3. Step 3: Cross multiply
    176.99x = 265.07 × 116.12
  4. Step 4: Simplify right side
    176.99x = 30,780.88
  5. Step 5: Solve for x
    x = 30,780.88/176.99
  6. Step 6: Final answer
    x = 173.92

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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.