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Finding the Fourth Proportional to 256.13, 352.84 and 190.52

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Solution

The fourth proportional to 256.13, 352.84 and 190.52 is: 262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.13 : 352.84 = 190.52 : x
  2. Step 2: Convert to fraction form
    256.13/352.84 = 190.52/x
  3. Step 3: Cross multiply
    256.13x = 352.84 × 190.52
  4. Step 4: Simplify right side
    256.13x = 67,223.08
  5. Step 5: Solve for x
    x = 67,223.08/256.13
  6. Step 6: Final answer
    x = 262.46

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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.