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Finding the Fourth Proportional to 182.60, 248.68 and 181.52

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Solution

The fourth proportional to 182.60, 248.68 and 181.52 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.60 : 248.68 = 181.52 : x
  2. Step 2: Convert to fraction form
    182.60/248.68 = 181.52/x
  3. Step 3: Cross multiply
    182.60x = 248.68 × 181.52
  4. Step 4: Simplify right side
    182.60x = 45,140.39
  5. Step 5: Solve for x
    x = 45,140.39/182.60
  6. Step 6: Final answer
    x = 247.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.