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Finding the Fourth Proportional to 240.64, 332.06 and 142.37

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Solution

The fourth proportional to 240.64, 332.06 and 142.37 is: 196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.64 : 332.06 = 142.37 : x
  2. Step 2: Convert to fraction form
    240.64/332.06 = 142.37/x
  3. Step 3: Cross multiply
    240.64x = 332.06 × 142.37
  4. Step 4: Simplify right side
    240.64x = 47,275.38
  5. Step 5: Solve for x
    x = 47,275.38/240.64
  6. Step 6: Final answer
    x = 196.46

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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.