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Finding the Fourth Proportional to 256.56, 354.05 and 146.06

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Solution

The fourth proportional to 256.56, 354.05 and 146.06 is: 201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 354.05 = 146.06 : x
  2. Step 2: Convert to fraction form
    256.56/354.05 = 146.06/x
  3. Step 3: Cross multiply
    256.56x = 354.05 × 146.06
  4. Step 4: Simplify right side
    256.56x = 51,710.04
  5. Step 5: Solve for x
    x = 51,710.04/256.56
  6. Step 6: Final answer
    x = 201.55

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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.