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Finding the Fourth Proportional to 184.74, 275.82 and 169.35

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Solution

The fourth proportional to 184.74, 275.82 and 169.35 is: 252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 275.82 = 169.35 : x
  2. Step 2: Convert to fraction form
    184.74/275.82 = 169.35/x
  3. Step 3: Cross multiply
    184.74x = 275.82 × 169.35
  4. Step 4: Simplify right side
    184.74x = 46,710.12
  5. Step 5: Solve for x
    x = 46,710.12/184.74
  6. Step 6: Final answer
    x = 252.84

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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.