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Finding the Fourth Proportional to 256.19, 384.29 and 195.67

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Solution

The fourth proportional to 256.19, 384.29 and 195.67 is: 293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.19 : 384.29 = 195.67 : x
  2. Step 2: Convert to fraction form
    256.19/384.29 = 195.67/x
  3. Step 3: Cross multiply
    256.19x = 384.29 × 195.67
  4. Step 4: Simplify right side
    256.19x = 75,191.12
  5. Step 5: Solve for x
    x = 75,191.12/256.19
  6. Step 6: Final answer
    x = 293.50

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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.