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Finding the Fourth Proportional to 285.18, 393.42 and 180.25

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Solution

The fourth proportional to 285.18, 393.42 and 180.25 is: 248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.18 : 393.42 = 180.25 : x
  2. Step 2: Convert to fraction form
    285.18/393.42 = 180.25/x
  3. Step 3: Cross multiply
    285.18x = 393.42 × 180.25
  4. Step 4: Simplify right side
    285.18x = 70,913.96
  5. Step 5: Solve for x
    x = 70,913.96/285.18
  6. Step 6: Final answer
    x = 248.66

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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.