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Finding the Fourth Proportional to 240.54, 332.00 and 153.20

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Solution

The fourth proportional to 240.54, 332.00 and 153.20 is: 211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.54 : 332.00 = 153.20 : x
  2. Step 2: Convert to fraction form
    240.54/332.00 = 153.20/x
  3. Step 3: Cross multiply
    240.54x = 332.00 × 153.20
  4. Step 4: Simplify right side
    240.54x = 50,859.97
  5. Step 5: Solve for x
    x = 50,859.97/240.54
  6. Step 6: Final answer
    x = 211.44

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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.