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Finding the Fourth Proportional to 176.75, 265.13 and 68.53

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Solution

The fourth proportional to 176.75, 265.13 and 68.53 is: 102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 265.13 = 68.53 : x
  2. Step 2: Convert to fraction form
    176.75/265.13 = 68.53/x
  3. Step 3: Cross multiply
    176.75x = 265.13 × 68.53
  4. Step 4: Simplify right side
    176.75x = 18,169.36
  5. Step 5: Solve for x
    x = 18,169.36/176.75
  6. Step 6: Final answer
    x = 102.80

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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.