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Finding the Fourth Proportional to 256.33, 353.62 and 158.07

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Solution

The fourth proportional to 256.33, 353.62 and 158.07 is: 218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.33 : 353.62 = 158.07 : x
  2. Step 2: Convert to fraction form
    256.33/353.62 = 158.07/x
  3. Step 3: Cross multiply
    256.33x = 353.62 × 158.07
  4. Step 4: Simplify right side
    256.33x = 55,895.36
  5. Step 5: Solve for x
    x = 55,895.36/256.33
  6. Step 6: Final answer
    x = 218.06

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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.