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Finding the Fourth Proportional to 239.84, 330.93 and 146.61

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Solution

The fourth proportional to 239.84, 330.93 and 146.61 is: 202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.84 : 330.93 = 146.61 : x
  2. Step 2: Convert to fraction form
    239.84/330.93 = 146.61/x
  3. Step 3: Cross multiply
    239.84x = 330.93 × 146.61
  4. Step 4: Simplify right side
    239.84x = 48,516.92
  5. Step 5: Solve for x
    x = 48,516.92/239.84
  6. Step 6: Final answer
    x = 202.29

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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.