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Finding the Fourth Proportional to 285.36, 393.64 and 180.40

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Solution

The fourth proportional to 285.36, 393.64 and 180.40 is: 248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.36 : 393.64 = 180.40 : x
  2. Step 2: Convert to fraction form
    285.36/393.64 = 180.40/x
  3. Step 3: Cross multiply
    285.36x = 393.64 × 180.40
  4. Step 4: Simplify right side
    285.36x = 71,012.66
  5. Step 5: Solve for x
    x = 71,012.66/285.36
  6. Step 6: Final answer
    x = 248.85

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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.