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Finding the Fourth Proportional to 248.67, 342.99 and 165.74

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Solution

The fourth proportional to 248.67, 342.99 and 165.74 is: 228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.67 : 342.99 = 165.74 : x
  2. Step 2: Convert to fraction form
    248.67/342.99 = 165.74/x
  3. Step 3: Cross multiply
    248.67x = 342.99 × 165.74
  4. Step 4: Simplify right side
    248.67x = 56,845.45
  5. Step 5: Solve for x
    x = 56,845.45/248.67
  6. Step 6: Final answer
    x = 228.60

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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.