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Finding the Fourth Proportional to 248.64, 342.96 and 161.28

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Solution

The fourth proportional to 248.64, 342.96 and 161.28 is: 222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.64 : 342.96 = 161.28 : x
  2. Step 2: Convert to fraction form
    248.64/342.96 = 161.28/x
  3. Step 3: Cross multiply
    248.64x = 342.96 × 161.28
  4. Step 4: Simplify right side
    248.64x = 55,312.59
  5. Step 5: Solve for x
    x = 55,312.59/248.64
  6. Step 6: Final answer
    x = 222.46

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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.