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Finding the Fourth Proportional to 176.70, 264.66 and 169.14

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Solution

The fourth proportional to 176.70, 264.66 and 169.14 is: 253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.70 : 264.66 = 169.14 : x
  2. Step 2: Convert to fraction form
    176.70/264.66 = 169.14/x
  3. Step 3: Cross multiply
    176.70x = 264.66 × 169.14
  4. Step 4: Simplify right side
    176.70x = 44,764.59
  5. Step 5: Solve for x
    x = 44,764.59/176.70
  6. Step 6: Final answer
    x = 253.34

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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.