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Finding the Fourth Proportional to 254.38, 382.01 and 152.30

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Solution

The fourth proportional to 254.38, 382.01 and 152.30 is: 228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.38 : 382.01 = 152.30 : x
  2. Step 2: Convert to fraction form
    254.38/382.01 = 152.30/x
  3. Step 3: Cross multiply
    254.38x = 382.01 × 152.30
  4. Step 4: Simplify right side
    254.38x = 58,180.12
  5. Step 5: Solve for x
    x = 58,180.12/254.38
  6. Step 6: Final answer
    x = 228.71

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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.