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Finding the Fourth Proportional to 184.64, 278.12 and 168.51

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Solution

The fourth proportional to 184.64, 278.12 and 168.51 is: 253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 278.12 = 168.51 : x
  2. Step 2: Convert to fraction form
    184.64/278.12 = 168.51/x
  3. Step 3: Cross multiply
    184.64x = 278.12 × 168.51
  4. Step 4: Simplify right side
    184.64x = 46,866.00
  5. Step 5: Solve for x
    x = 46,866.00/184.64
  6. Step 6: Final answer
    x = 253.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.