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Finding the Fourth Proportional to 256.59, 382.22 and 247.71

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Solution

The fourth proportional to 256.59, 382.22 and 247.71 is: 368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 382.22 = 247.71 : x
  2. Step 2: Convert to fraction form
    256.59/382.22 = 247.71/x
  3. Step 3: Cross multiply
    256.59x = 382.22 × 247.71
  4. Step 4: Simplify right side
    256.59x = 94,680.34
  5. Step 5: Solve for x
    x = 94,680.34/256.59
  6. Step 6: Final answer
    x = 368.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.