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Finding the Fourth Proportional to 254.40, 380.72 and 156.86

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Solution

The fourth proportional to 254.40, 380.72 and 156.86 is: 234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.40 : 380.72 = 156.86 : x
  2. Step 2: Convert to fraction form
    254.40/380.72 = 156.86/x
  3. Step 3: Cross multiply
    254.40x = 380.72 × 156.86
  4. Step 4: Simplify right side
    254.40x = 59,719.35
  5. Step 5: Solve for x
    x = 59,719.35/254.40
  6. Step 6: Final answer
    x = 234.75

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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.