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Finding the Fourth Proportional to 238.41, 328.88 and 159.78

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Solution

The fourth proportional to 238.41, 328.88 and 159.78 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.41 : 328.88 = 159.78 : x
  2. Step 2: Convert to fraction form
    238.41/328.88 = 159.78/x
  3. Step 3: Cross multiply
    238.41x = 328.88 × 159.78
  4. Step 4: Simplify right side
    238.41x = 52,547.65
  5. Step 5: Solve for x
    x = 52,547.65/238.41
  6. Step 6: Final answer
    x = 220.41

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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.