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Finding the Fourth Proportional to 256.96, 354.51 and 155.98

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Solution

The fourth proportional to 256.96, 354.51 and 155.98 is: 215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.96 : 354.51 = 155.98 : x
  2. Step 2: Convert to fraction form
    256.96/354.51 = 155.98/x
  3. Step 3: Cross multiply
    256.96x = 354.51 × 155.98
  4. Step 4: Simplify right side
    256.96x = 55,296.47
  5. Step 5: Solve for x
    x = 55,296.47/256.96
  6. Step 6: Final answer
    x = 215.19

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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.