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Finding the Fourth Proportional to 256.68, 354.12 and 157.12

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Solution

The fourth proportional to 256.68, 354.12 and 157.12 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.68 : 354.12 = 157.12 : x
  2. Step 2: Convert to fraction form
    256.68/354.12 = 157.12/x
  3. Step 3: Cross multiply
    256.68x = 354.12 × 157.12
  4. Step 4: Simplify right side
    256.68x = 55,639.33
  5. Step 5: Solve for x
    x = 55,639.33/256.68
  6. Step 6: Final answer
    x = 216.77

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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.