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Finding the Fourth Proportional to 176.68, 263.57 and 165.88

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Solution

The fourth proportional to 176.68, 263.57 and 165.88 is: 247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.68 : 263.57 = 165.88 : x
  2. Step 2: Convert to fraction form
    176.68/263.57 = 165.88/x
  3. Step 3: Cross multiply
    176.68x = 263.57 × 165.88
  4. Step 4: Simplify right side
    176.68x = 43,720.99
  5. Step 5: Solve for x
    x = 43,720.99/176.68
  6. Step 6: Final answer
    x = 247.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.