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Finding the Fourth Proportional to 279.84, 386.24 and 180.24

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Solution

The fourth proportional to 279.84, 386.24 and 180.24 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 386.24 = 180.24 : x
  2. Step 2: Convert to fraction form
    279.84/386.24 = 180.24/x
  3. Step 3: Cross multiply
    279.84x = 386.24 × 180.24
  4. Step 4: Simplify right side
    279.84x = 69,615.90
  5. Step 5: Solve for x
    x = 69,615.90/279.84
  6. Step 6: Final answer
    x = 248.77

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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.