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Finding the Fourth Proportional to 249.76, 374.08 and 164

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Solution

The fourth proportional to 249.76, 374.08 and 164 is: 245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.76 : 374.08 = 164 : x
  2. Step 2: Convert to fraction form
    249.76/374.08 = 164/x
  3. Step 3: Cross multiply
    249.76x = 374.08 × 164
  4. Step 4: Simplify right side
    249.76x = 61,349.12
  5. Step 5: Solve for x
    x = 61,349.12/249.76
  6. Step 6: Final answer
    x = 245.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.