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Finding the Fourth Proportional to 285.16, 393.62 and 167.17

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Solution

The fourth proportional to 285.16, 393.62 and 167.17 is: 230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.16 : 393.62 = 167.17 : x
  2. Step 2: Convert to fraction form
    285.16/393.62 = 167.17/x
  3. Step 3: Cross multiply
    285.16x = 393.62 × 167.17
  4. Step 4: Simplify right side
    285.16x = 65,800.37
  5. Step 5: Solve for x
    x = 65,800.37/285.16
  6. Step 6: Final answer
    x = 230.75

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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.