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Finding the Fourth Proportional to 256.96, 354.57 and 158.77

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Solution

The fourth proportional to 256.96, 354.57 and 158.77 is: 219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.96 : 354.57 = 158.77 : x
  2. Step 2: Convert to fraction form
    256.96/354.57 = 158.77/x
  3. Step 3: Cross multiply
    256.96x = 354.57 × 158.77
  4. Step 4: Simplify right side
    256.96x = 56,295.08
  5. Step 5: Solve for x
    x = 56,295.08/256.96
  6. Step 6: Final answer
    x = 219.08

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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.