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Finding the Fourth Proportional to 257.96, 356.00 and 158.38

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Solution

The fourth proportional to 257.96, 356.00 and 158.38 is: 218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 356.00 = 158.38 : x
  2. Step 2: Convert to fraction form
    257.96/356.00 = 158.38/x
  3. Step 3: Cross multiply
    257.96x = 356.00 × 158.38
  4. Step 4: Simplify right side
    257.96x = 56,381.60
  5. Step 5: Solve for x
    x = 56,381.60/257.96
  6. Step 6: Final answer
    x = 218.57

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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.