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Finding the Fourth Proportional to 257.28, 383.95 and 229.95

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Solution

The fourth proportional to 257.28, 383.95 and 229.95 is: 343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.28 : 383.95 = 229.95 : x
  2. Step 2: Convert to fraction form
    257.28/383.95 = 229.95/x
  3. Step 3: Cross multiply
    257.28x = 383.95 × 229.95
  4. Step 4: Simplify right side
    257.28x = 88,286.23
  5. Step 5: Solve for x
    x = 88,286.23/257.28
  6. Step 6: Final answer
    x = 343.15

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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.