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Finding the Fourth Proportional to 184.95, 275.85 and 165.51

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Solution

The fourth proportional to 184.95, 275.85 and 165.51 is: 246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.95 : 275.85 = 165.51 : x
  2. Step 2: Convert to fraction form
    184.95/275.85 = 165.51/x
  3. Step 3: Cross multiply
    184.95x = 275.85 × 165.51
  4. Step 4: Simplify right side
    184.95x = 45,655.93
  5. Step 5: Solve for x
    x = 45,655.93/184.95
  6. Step 6: Final answer
    x = 246.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.