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Finding the Fourth Proportional to 256.84, 385.29 and 189.22

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Solution

The fourth proportional to 256.84, 385.29 and 189.22 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.84 : 385.29 = 189.22 : x
  2. Step 2: Convert to fraction form
    256.84/385.29 = 189.22/x
  3. Step 3: Cross multiply
    256.84x = 385.29 × 189.22
  4. Step 4: Simplify right side
    256.84x = 72,904.57
  5. Step 5: Solve for x
    x = 72,904.57/256.84
  6. Step 6: Final answer
    x = 283.85

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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.