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Finding the Fourth Proportional to 239.71, 330.86 and 146.47

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Solution

The fourth proportional to 239.71, 330.86 and 146.47 is: 202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.71 : 330.86 = 146.47 : x
  2. Step 2: Convert to fraction form
    239.71/330.86 = 146.47/x
  3. Step 3: Cross multiply
    239.71x = 330.86 × 146.47
  4. Step 4: Simplify right side
    239.71x = 48,461.06
  5. Step 5: Solve for x
    x = 48,461.06/239.71
  6. Step 6: Final answer
    x = 202.17

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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.