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Finding the Fourth Proportional to 238.56, 328.80 and 180.36

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Solution

The fourth proportional to 238.56, 328.80 and 180.36 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.56 : 328.80 = 180.36 : x
  2. Step 2: Convert to fraction form
    238.56/328.80 = 180.36/x
  3. Step 3: Cross multiply
    238.56x = 328.80 × 180.36
  4. Step 4: Simplify right side
    238.56x = 59,302.37
  5. Step 5: Solve for x
    x = 59,302.37/238.56
  6. Step 6: Final answer
    x = 248.58

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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.