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Finding the Fourth Proportional to 184.64, 276.60 and 130.32

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Solution

The fourth proportional to 184.64, 276.60 and 130.32 is: 195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 276.60 = 130.32 : x
  2. Step 2: Convert to fraction form
    184.64/276.60 = 130.32/x
  3. Step 3: Cross multiply
    184.64x = 276.60 × 130.32
  4. Step 4: Simplify right side
    184.64x = 36,046.51
  5. Step 5: Solve for x
    x = 36,046.51/184.64
  6. Step 6: Final answer
    x = 195.23

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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.