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Finding the Fourth Proportional to 184.32, 276.53 and 76.14

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Solution

The fourth proportional to 184.32, 276.53 and 76.14 is: 114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.32 : 276.53 = 76.14 : x
  2. Step 2: Convert to fraction form
    184.32/276.53 = 76.14/x
  3. Step 3: Cross multiply
    184.32x = 276.53 × 76.14
  4. Step 4: Simplify right side
    184.32x = 21,054.61
  5. Step 5: Solve for x
    x = 21,054.61/184.32
  6. Step 6: Final answer
    x = 114.23

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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.