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Finding the Fourth Proportional to 256.86, 384.97 and 202.54

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Solution

The fourth proportional to 256.86, 384.97 and 202.54 is: 303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.86 : 384.97 = 202.54 : x
  2. Step 2: Convert to fraction form
    256.86/384.97 = 202.54/x
  3. Step 3: Cross multiply
    256.86x = 384.97 × 202.54
  4. Step 4: Simplify right side
    256.86x = 77,971.82
  5. Step 5: Solve for x
    x = 77,971.82/256.86
  6. Step 6: Final answer
    x = 303.56

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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.