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Finding the Fourth Proportional to 176.40, 264 and 119.28

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Solution

The fourth proportional to 176.40, 264 and 119.28 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 264 = 119.28 : x
  2. Step 2: Convert to fraction form
    176.40/264 = 119.28/x
  3. Step 3: Cross multiply
    176.40x = 264 × 119.28
  4. Step 4: Simplify right side
    176.40x = 31,489.92
  5. Step 5: Solve for x
    x = 31,489.92/176.40
  6. Step 6: Final answer
    x = 178.51

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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.