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Finding the Fourth Proportional to 238.06, 328.65 and 159.48

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Solution

The fourth proportional to 238.06, 328.65 and 159.48 is: 220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.06 : 328.65 = 159.48 : x
  2. Step 2: Convert to fraction form
    238.06/328.65 = 159.48/x
  3. Step 3: Cross multiply
    238.06x = 328.65 × 159.48
  4. Step 4: Simplify right side
    238.06x = 52,412.03
  5. Step 5: Solve for x
    x = 52,412.03/238.06
  6. Step 6: Final answer
    x = 220.17

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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.