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Finding the Fourth Proportional to 254.50, 351.26 and 156.24

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Solution

The fourth proportional to 254.50, 351.26 and 156.24 is: 215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 351.26 = 156.24 : x
  2. Step 2: Convert to fraction form
    254.50/351.26 = 156.24/x
  3. Step 3: Cross multiply
    254.50x = 351.26 × 156.24
  4. Step 4: Simplify right side
    254.50x = 54,880.86
  5. Step 5: Solve for x
    x = 54,880.86/254.50
  6. Step 6: Final answer
    x = 215.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.