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Finding the Fourth Proportional to 181.24, 248.64 and 176.44

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Solution

The fourth proportional to 181.24, 248.64 and 176.44 is: 242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.24 : 248.64 = 176.44 : x
  2. Step 2: Convert to fraction form
    181.24/248.64 = 176.44/x
  3. Step 3: Cross multiply
    181.24x = 248.64 × 176.44
  4. Step 4: Simplify right side
    181.24x = 43,870.04
  5. Step 5: Solve for x
    x = 43,870.04/181.24
  6. Step 6: Final answer
    x = 242.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.