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Finding the Fourth Proportional to 256.84, 354.71 and 194.67

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Solution

The fourth proportional to 256.84, 354.71 and 194.67 is: 268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.84 : 354.71 = 194.67 : x
  2. Step 2: Convert to fraction form
    256.84/354.71 = 194.67/x
  3. Step 3: Cross multiply
    256.84x = 354.71 × 194.67
  4. Step 4: Simplify right side
    256.84x = 69,051.88
  5. Step 5: Solve for x
    x = 69,051.88/256.84
  6. Step 6: Final answer
    x = 268.85

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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.