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Finding the Fourth Proportional to 256.21, 384.37 and 100.03

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Solution

The fourth proportional to 256.21, 384.37 and 100.03 is: 150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.21 : 384.37 = 100.03 : x
  2. Step 2: Convert to fraction form
    256.21/384.37 = 100.03/x
  3. Step 3: Cross multiply
    256.21x = 384.37 × 100.03
  4. Step 4: Simplify right side
    256.21x = 38,448.53
  5. Step 5: Solve for x
    x = 38,448.53/256.21
  6. Step 6: Final answer
    x = 150.07

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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.