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Finding the Fourth Proportional to 252.42, 348.08 and 182.94

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Solution

The fourth proportional to 252.42, 348.08 and 182.94 is: 252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.42 : 348.08 = 182.94 : x
  2. Step 2: Convert to fraction form
    252.42/348.08 = 182.94/x
  3. Step 3: Cross multiply
    252.42x = 348.08 × 182.94
  4. Step 4: Simplify right side
    252.42x = 63,677.76
  5. Step 5: Solve for x
    x = 63,677.76/252.42
  6. Step 6: Final answer
    x = 252.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.