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Finding the Fourth Proportional to 256.54, 354.01 and 146.02

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Solution

The fourth proportional to 256.54, 354.01 and 146.02 is: 201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.54 : 354.01 = 146.02 : x
  2. Step 2: Convert to fraction form
    256.54/354.01 = 146.02/x
  3. Step 3: Cross multiply
    256.54x = 354.01 × 146.02
  4. Step 4: Simplify right side
    256.54x = 51,692.54
  5. Step 5: Solve for x
    x = 51,692.54/256.54
  6. Step 6: Final answer
    x = 201.50

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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.