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Finding the Fourth Proportional to 176.88, 265.34 and 108.26

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Solution

The fourth proportional to 176.88, 265.34 and 108.26 is: 162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 265.34 = 108.26 : x
  2. Step 2: Convert to fraction form
    176.88/265.34 = 108.26/x
  3. Step 3: Cross multiply
    176.88x = 265.34 × 108.26
  4. Step 4: Simplify right side
    176.88x = 28,725.65
  5. Step 5: Solve for x
    x = 28,725.65/176.88
  6. Step 6: Final answer
    x = 162.40

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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.