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Finding the Fourth Proportional to 256.59, 385.87 and 204.65

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Solution

The fourth proportional to 256.59, 385.87 and 204.65 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 385.87 = 204.65 : x
  2. Step 2: Convert to fraction form
    256.59/385.87 = 204.65/x
  3. Step 3: Cross multiply
    256.59x = 385.87 × 204.65
  4. Step 4: Simplify right side
    256.59x = 78,968.75
  5. Step 5: Solve for x
    x = 78,968.75/256.59
  6. Step 6: Final answer
    x = 307.76

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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.