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Finding the Fourth Proportional to 176.80, 265.14 and 113.08

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Solution

The fourth proportional to 176.80, 265.14 and 113.08 is: 169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.80 : 265.14 = 113.08 : x
  2. Step 2: Convert to fraction form
    176.80/265.14 = 113.08/x
  3. Step 3: Cross multiply
    176.80x = 265.14 × 113.08
  4. Step 4: Simplify right side
    176.80x = 29,982.03
  5. Step 5: Solve for x
    x = 29,982.03/176.80
  6. Step 6: Final answer
    x = 169.58

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