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Finding the Fourth Proportional to 256.65, 385.10 and 185.10

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Solution

The fourth proportional to 256.65, 385.10 and 185.10 is: 277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.65 : 385.10 = 185.10 : x
  2. Step 2: Convert to fraction form
    256.65/385.10 = 185.10/x
  3. Step 3: Cross multiply
    256.65x = 385.10 × 185.10
  4. Step 4: Simplify right side
    256.65x = 71,282.01
  5. Step 5: Solve for x
    x = 71,282.01/256.65
  6. Step 6: Final answer
    x = 277.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.