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Finding the Fourth Proportional to 256.71, 383.51 and 255.36

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Solution

The fourth proportional to 256.71, 383.51 and 255.36 is: 381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.71 : 383.51 = 255.36 : x
  2. Step 2: Convert to fraction form
    256.71/383.51 = 255.36/x
  3. Step 3: Cross multiply
    256.71x = 383.51 × 255.36
  4. Step 4: Simplify right side
    256.71x = 97,931.84
  5. Step 5: Solve for x
    x = 97,931.84/256.71
  6. Step 6: Final answer
    x = 381.49

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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.