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Finding the Fourth Proportional to 285.02, 393.31 and 160.70

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Solution

The fourth proportional to 285.02, 393.31 and 160.70 is: 221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.02 : 393.31 = 160.70 : x
  2. Step 2: Convert to fraction form
    285.02/393.31 = 160.70/x
  3. Step 3: Cross multiply
    285.02x = 393.31 × 160.70
  4. Step 4: Simplify right side
    285.02x = 63,204.92
  5. Step 5: Solve for x
    x = 63,204.92/285.02
  6. Step 6: Final answer
    x = 221.76

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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.