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Finding the Fourth Proportional to 247.95, 342.35 and 165.33

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Solution

The fourth proportional to 247.95, 342.35 and 165.33 is: 228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.95 : 342.35 = 165.33 : x
  2. Step 2: Convert to fraction form
    247.95/342.35 = 165.33/x
  3. Step 3: Cross multiply
    247.95x = 342.35 × 165.33
  4. Step 4: Simplify right side
    247.95x = 56,599.90
  5. Step 5: Solve for x
    x = 56,599.90/247.95
  6. Step 6: Final answer
    x = 228.27

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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.