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Finding the Fourth Proportional to 184.02, 276.65 and 148.19

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Solution

The fourth proportional to 184.02, 276.65 and 148.19 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.02 : 276.65 = 148.19 : x
  2. Step 2: Convert to fraction form
    184.02/276.65 = 148.19/x
  3. Step 3: Cross multiply
    184.02x = 276.65 × 148.19
  4. Step 4: Simplify right side
    184.02x = 40,994.64
  5. Step 5: Solve for x
    x = 40,994.64/184.02
  6. Step 6: Final answer
    x = 222.77

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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.