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Finding the Fourth Proportional to 256.30, 384.33 and 100.03

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Solution

The fourth proportional to 256.30, 384.33 and 100.03 is: 150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.30 : 384.33 = 100.03 : x
  2. Step 2: Convert to fraction form
    256.30/384.33 = 100.03/x
  3. Step 3: Cross multiply
    256.30x = 384.33 × 100.03
  4. Step 4: Simplify right side
    256.30x = 38,446.03
  5. Step 5: Solve for x
    x = 38,446.03/256.30
  6. Step 6: Final answer
    x = 150.00

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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.