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Finding the Fourth Proportional to 248.40, 342.50 and 161.10

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Solution

The fourth proportional to 248.40, 342.50 and 161.10 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.40 : 342.50 = 161.10 : x
  2. Step 2: Convert to fraction form
    248.40/342.50 = 161.10/x
  3. Step 3: Cross multiply
    248.40x = 342.50 × 161.10
  4. Step 4: Simplify right side
    248.40x = 55,175.94
  5. Step 5: Solve for x
    x = 55,175.94/248.40
  6. Step 6: Final answer
    x = 222.13

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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.