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Finding the Fourth Proportional to 256.95, 385.67 and 188.91

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Solution

The fourth proportional to 256.95, 385.67 and 188.91 is: 283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.95 : 385.67 = 188.91 : x
  2. Step 2: Convert to fraction form
    256.95/385.67 = 188.91/x
  3. Step 3: Cross multiply
    256.95x = 385.67 × 188.91
  4. Step 4: Simplify right side
    256.95x = 72,856.92
  5. Step 5: Solve for x
    x = 72,856.92/256.95
  6. Step 6: Final answer
    x = 283.55

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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.