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Finding the Fourth Proportional to 252.34, 376.04 and 251.14

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Solution

The fourth proportional to 252.34, 376.04 and 251.14 is: 374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.34 : 376.04 = 251.14 : x
  2. Step 2: Convert to fraction form
    252.34/376.04 = 251.14/x
  3. Step 3: Cross multiply
    252.34x = 376.04 × 251.14
  4. Step 4: Simplify right side
    252.34x = 94,438.69
  5. Step 5: Solve for x
    x = 94,438.69/252.34
  6. Step 6: Final answer
    x = 374.25

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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.