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Finding the Fourth Proportional to 254.96, 351.88 and 156.76

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Solution

The fourth proportional to 254.96, 351.88 and 156.76 is: 216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.96 : 351.88 = 156.76 : x
  2. Step 2: Convert to fraction form
    254.96/351.88 = 156.76/x
  3. Step 3: Cross multiply
    254.96x = 351.88 × 156.76
  4. Step 4: Simplify right side
    254.96x = 55,160.71
  5. Step 5: Solve for x
    x = 55,160.71/254.96
  6. Step 6: Final answer
    x = 216.35

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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.