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Finding the Fourth Proportional to 257.42, 355.25 and 146.89

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Solution

The fourth proportional to 257.42, 355.25 and 146.89 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.42 : 355.25 = 146.89 : x
  2. Step 2: Convert to fraction form
    257.42/355.25 = 146.89/x
  3. Step 3: Cross multiply
    257.42x = 355.25 × 146.89
  4. Step 4: Simplify right side
    257.42x = 52,181.94
  5. Step 5: Solve for x
    x = 52,181.94/257.42
  6. Step 6: Final answer
    x = 202.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.