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Finding the Fourth Proportional to 256.57, 354.09 and 146.08

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Solution

The fourth proportional to 256.57, 354.09 and 146.08 is: 201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.57 : 354.09 = 146.08 : x
  2. Step 2: Convert to fraction form
    256.57/354.09 = 146.08/x
  3. Step 3: Cross multiply
    256.57x = 354.09 × 146.08
  4. Step 4: Simplify right side
    256.57x = 51,726.35
  5. Step 5: Solve for x
    x = 51,726.35/256.57
  6. Step 6: Final answer
    x = 201.61

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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.