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Finding the Fourth Proportional to 281.40, 388.14 and 180.48

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Solution

The fourth proportional to 281.40, 388.14 and 180.48 is: 248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.40 : 388.14 = 180.48 : x
  2. Step 2: Convert to fraction form
    281.40/388.14 = 180.48/x
  3. Step 3: Cross multiply
    281.40x = 388.14 × 180.48
  4. Step 4: Simplify right side
    281.40x = 70,051.51
  5. Step 5: Solve for x
    x = 70,051.51/281.40
  6. Step 6: Final answer
    x = 248.94

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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.