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Finding the Fourth Proportional to 256.00, 384.00 and 101.89

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Solution

The fourth proportional to 256.00, 384.00 and 101.89 is: 152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.00 : 384.00 = 101.89 : x
  2. Step 2: Convert to fraction form
    256.00/384.00 = 101.89/x
  3. Step 3: Cross multiply
    256.00x = 384.00 × 101.89
  4. Step 4: Simplify right side
    256.00x = 39,124.27
  5. Step 5: Solve for x
    x = 39,124.27/256.00
  6. Step 6: Final answer
    x = 152.83

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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.