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Finding the Fourth Proportional to 254.96, 351.81 and 156.77

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Solution

The fourth proportional to 254.96, 351.81 and 156.77 is: 216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.96 : 351.81 = 156.77 : x
  2. Step 2: Convert to fraction form
    254.96/351.81 = 156.77/x
  3. Step 3: Cross multiply
    254.96x = 351.81 × 156.77
  4. Step 4: Simplify right side
    254.96x = 55,151.49
  5. Step 5: Solve for x
    x = 55,151.49/254.96
  6. Step 6: Final answer
    x = 216.32

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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.