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Finding the Fourth Proportional to 256.70, 354.14 and 158.42

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Solution

The fourth proportional to 256.70, 354.14 and 158.42 is: 218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.70 : 354.14 = 158.42 : x
  2. Step 2: Convert to fraction form
    256.70/354.14 = 158.42/x
  3. Step 3: Cross multiply
    256.70x = 354.14 × 158.42
  4. Step 4: Simplify right side
    256.70x = 56,102.86
  5. Step 5: Solve for x
    x = 56,102.86/256.70
  6. Step 6: Final answer
    x = 218.55

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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.