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Finding the Fourth Proportional to 176.92, 265.35 and 68.68

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Solution

The fourth proportional to 176.92, 265.35 and 68.68 is: 103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.92 : 265.35 = 68.68 : x
  2. Step 2: Convert to fraction form
    176.92/265.35 = 68.68/x
  3. Step 3: Cross multiply
    176.92x = 265.35 × 68.68
  4. Step 4: Simplify right side
    176.92x = 18,224.24
  5. Step 5: Solve for x
    x = 18,224.24/176.92
  6. Step 6: Final answer
    x = 103.01

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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.