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Finding the Fourth Proportional to 252.94, 379.62 and 184.58

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Solution

The fourth proportional to 252.94, 379.62 and 184.58 is: 277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.94 : 379.62 = 184.58 : x
  2. Step 2: Convert to fraction form
    252.94/379.62 = 184.58/x
  3. Step 3: Cross multiply
    252.94x = 379.62 × 184.58
  4. Step 4: Simplify right side
    252.94x = 70,070.26
  5. Step 5: Solve for x
    x = 70,070.26/252.94
  6. Step 6: Final answer
    x = 277.02

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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.