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Finding the Fourth Proportional to 176.24, 242.52 and 165.44

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Solution

The fourth proportional to 176.24, 242.52 and 165.44 is: 227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.24 : 242.52 = 165.44 : x
  2. Step 2: Convert to fraction form
    176.24/242.52 = 165.44/x
  3. Step 3: Cross multiply
    176.24x = 242.52 × 165.44
  4. Step 4: Simplify right side
    176.24x = 40,122.51
  5. Step 5: Solve for x
    x = 40,122.51/176.24
  6. Step 6: Final answer
    x = 227.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.