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Finding the Fourth Proportional to 248.13, 342.45 and 165.42

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Solution

The fourth proportional to 248.13, 342.45 and 165.42 is: 228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.13 : 342.45 = 165.42 : x
  2. Step 2: Convert to fraction form
    248.13/342.45 = 165.42/x
  3. Step 3: Cross multiply
    248.13x = 342.45 × 165.42
  4. Step 4: Simplify right side
    248.13x = 56,648.08
  5. Step 5: Solve for x
    x = 56,648.08/248.13
  6. Step 6: Final answer
    x = 228.30

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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.