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Finding the Fourth Proportional to 239.82, 330.99 and 146.58

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Solution

The fourth proportional to 239.82, 330.99 and 146.58 is: 202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.82 : 330.99 = 146.58 : x
  2. Step 2: Convert to fraction form
    239.82/330.99 = 146.58/x
  3. Step 3: Cross multiply
    239.82x = 330.99 × 146.58
  4. Step 4: Simplify right side
    239.82x = 48,515.78
  5. Step 5: Solve for x
    x = 48,515.78/239.82
  6. Step 6: Final answer
    x = 202.30

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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.