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Finding the Fourth Proportional to 256.13, 383.97 and 119.10

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Solution

The fourth proportional to 256.13, 383.97 and 119.10 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.13 : 383.97 = 119.10 : x
  2. Step 2: Convert to fraction form
    256.13/383.97 = 119.10/x
  3. Step 3: Cross multiply
    256.13x = 383.97 × 119.10
  4. Step 4: Simplify right side
    256.13x = 45,732.71
  5. Step 5: Solve for x
    x = 45,732.71/256.13
  6. Step 6: Final answer
    x = 178.55

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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.