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Finding the Fourth Proportional to 256.69, 383.18 and 238.46

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Solution

The fourth proportional to 256.69, 383.18 and 238.46 is: 355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.69 : 383.18 = 238.46 : x
  2. Step 2: Convert to fraction form
    256.69/383.18 = 238.46/x
  3. Step 3: Cross multiply
    256.69x = 383.18 × 238.46
  4. Step 4: Simplify right side
    256.69x = 91,373.10
  5. Step 5: Solve for x
    x = 91,373.10/256.69
  6. Step 6: Final answer
    x = 355.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.