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Finding the Fourth Proportional to 256.10, 385.53 and 233.78

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Solution

The fourth proportional to 256.10, 385.53 and 233.78 is: 351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.10 : 385.53 = 233.78 : x
  2. Step 2: Convert to fraction form
    256.10/385.53 = 233.78/x
  3. Step 3: Cross multiply
    256.10x = 385.53 × 233.78
  4. Step 4: Simplify right side
    256.10x = 90,126.40
  5. Step 5: Solve for x
    x = 90,126.40/256.10
  6. Step 6: Final answer
    x = 351.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.