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Finding the Fourth Proportional to 176.11, 264.47 and 121.44

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Solution

The fourth proportional to 176.11, 264.47 and 121.44 is: 182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.11 : 264.47 = 121.44 : x
  2. Step 2: Convert to fraction form
    176.11/264.47 = 121.44/x
  3. Step 3: Cross multiply
    176.11x = 264.47 × 121.44
  4. Step 4: Simplify right side
    176.11x = 32,117.24
  5. Step 5: Solve for x
    x = 32,117.24/176.11
  6. Step 6: Final answer
    x = 182.37

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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.