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Finding the Fourth Proportional to 252.07, 380.42 and 245.59

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Solution

The fourth proportional to 252.07, 380.42 and 245.59 is: 370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.07 : 380.42 = 245.59 : x
  2. Step 2: Convert to fraction form
    252.07/380.42 = 245.59/x
  3. Step 3: Cross multiply
    252.07x = 380.42 × 245.59
  4. Step 4: Simplify right side
    252.07x = 93,426.06
  5. Step 5: Solve for x
    x = 93,426.06/252.07
  6. Step 6: Final answer
    x = 370.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.