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Finding the Fourth Proportional to 256.02, 383.50 and 194.96

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Solution

The fourth proportional to 256.02, 383.50 and 194.96 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 383.50 = 194.96 : x
  2. Step 2: Convert to fraction form
    256.02/383.50 = 194.96/x
  3. Step 3: Cross multiply
    256.02x = 383.50 × 194.96
  4. Step 4: Simplify right side
    256.02x = 74,767.16
  5. Step 5: Solve for x
    x = 74,767.16/256.02
  6. Step 6: Final answer
    x = 292.04

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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.