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Finding the Fourth Proportional to 248.10, 342.45 and 165.45

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Solution

The fourth proportional to 248.10, 342.45 and 165.45 is: 228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.10 : 342.45 = 165.45 : x
  2. Step 2: Convert to fraction form
    248.10/342.45 = 165.45/x
  3. Step 3: Cross multiply
    248.10x = 342.45 × 165.45
  4. Step 4: Simplify right side
    248.10x = 56,658.35
  5. Step 5: Solve for x
    x = 56,658.35/248.10
  6. Step 6: Final answer
    x = 228.37

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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.