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Finding the Fourth Proportional to 256.90, 385.38 and 154.16

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Solution

The fourth proportional to 256.90, 385.38 and 154.16 is: 231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.90 : 385.38 = 154.16 : x
  2. Step 2: Convert to fraction form
    256.90/385.38 = 154.16/x
  3. Step 3: Cross multiply
    256.90x = 385.38 × 154.16
  4. Step 4: Simplify right side
    256.90x = 59,410.18
  5. Step 5: Solve for x
    x = 59,410.18/256.90
  6. Step 6: Final answer
    x = 231.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.