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Finding the Fourth Proportional to 256.24, 353.48 and 162.88

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Solution

The fourth proportional to 256.24, 353.48 and 162.88 is: 224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.24 : 353.48 = 162.88 : x
  2. Step 2: Convert to fraction form
    256.24/353.48 = 162.88/x
  3. Step 3: Cross multiply
    256.24x = 353.48 × 162.88
  4. Step 4: Simplify right side
    256.24x = 57,574.82
  5. Step 5: Solve for x
    x = 57,574.82/256.24
  6. Step 6: Final answer
    x = 224.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.