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Finding the Fourth Proportional to 285.06, 393.42 and 180.20

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Solution

The fourth proportional to 285.06, 393.42 and 180.20 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.06 : 393.42 = 180.20 : x
  2. Step 2: Convert to fraction form
    285.06/393.42 = 180.20/x
  3. Step 3: Cross multiply
    285.06x = 393.42 × 180.20
  4. Step 4: Simplify right side
    285.06x = 70,894.28
  5. Step 5: Solve for x
    x = 70,894.28/285.06
  6. Step 6: Final answer
    x = 248.70

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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.