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Finding the Fourth Proportional to 240.99, 332.34 and 165.46

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Solution

The fourth proportional to 240.99, 332.34 and 165.46 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.99 : 332.34 = 165.46 : x
  2. Step 2: Convert to fraction form
    240.99/332.34 = 165.46/x
  3. Step 3: Cross multiply
    240.99x = 332.34 × 165.46
  4. Step 4: Simplify right side
    240.99x = 54,988.15
  5. Step 5: Solve for x
    x = 54,988.15/240.99
  6. Step 6: Final answer
    x = 228.17

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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.