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Finding the Fourth Proportional to 184.48, 276.75 and 93.22

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Solution

The fourth proportional to 184.48, 276.75 and 93.22 is: 139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.48 : 276.75 = 93.22 : x
  2. Step 2: Convert to fraction form
    184.48/276.75 = 93.22/x
  3. Step 3: Cross multiply
    184.48x = 276.75 × 93.22
  4. Step 4: Simplify right side
    184.48x = 25,798.64
  5. Step 5: Solve for x
    x = 25,798.64/184.48
  6. Step 6: Final answer
    x = 139.85

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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.