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Finding the Fourth Proportional to 254.14, 383.12 and 237.43

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Solution

The fourth proportional to 254.14, 383.12 and 237.43 is: 357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.14 : 383.12 = 237.43 : x
  2. Step 2: Convert to fraction form
    254.14/383.12 = 237.43/x
  3. Step 3: Cross multiply
    254.14x = 383.12 × 237.43
  4. Step 4: Simplify right side
    254.14x = 90,964.18
  5. Step 5: Solve for x
    x = 90,964.18/254.14
  6. Step 6: Final answer
    x = 357.93

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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.