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Finding the Fourth Proportional to 184.96, 276.48 and 156.16

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Solution

The fourth proportional to 184.96, 276.48 and 156.16 is: 233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.96 : 276.48 = 156.16 : x
  2. Step 2: Convert to fraction form
    184.96/276.48 = 156.16/x
  3. Step 3: Cross multiply
    184.96x = 276.48 × 156.16
  4. Step 4: Simplify right side
    184.96x = 43,175.12
  5. Step 5: Solve for x
    x = 43,175.12/184.96
  6. Step 6: Final answer
    x = 233.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.