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Finding the Fourth Proportional to 252.54, 348.65 and 182.53

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Solution

The fourth proportional to 252.54, 348.65 and 182.53 is: 251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.54 : 348.65 = 182.53 : x
  2. Step 2: Convert to fraction form
    252.54/348.65 = 182.53/x
  3. Step 3: Cross multiply
    252.54x = 348.65 × 182.53
  4. Step 4: Simplify right side
    252.54x = 63,639.34
  5. Step 5: Solve for x
    x = 63,639.34/252.54
  6. Step 6: Final answer
    x = 251.99

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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.