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Finding the Fourth Proportional to 248.96, 372.96 and 120.32

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Solution

The fourth proportional to 248.96, 372.96 and 120.32 is: 180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.96 : 372.96 = 120.32 : x
  2. Step 2: Convert to fraction form
    248.96/372.96 = 120.32/x
  3. Step 3: Cross multiply
    248.96x = 372.96 × 120.32
  4. Step 4: Simplify right side
    248.96x = 44,874.55
  5. Step 5: Solve for x
    x = 44,874.55/248.96
  6. Step 6: Final answer
    x = 180.25

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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.