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Finding the Fourth Proportional to 284.76, 393.02 and 166.75

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Solution

The fourth proportional to 284.76, 393.02 and 166.75 is: 230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.76 : 393.02 = 166.75 : x
  2. Step 2: Convert to fraction form
    284.76/393.02 = 166.75/x
  3. Step 3: Cross multiply
    284.76x = 393.02 × 166.75
  4. Step 4: Simplify right side
    284.76x = 65,536.09
  5. Step 5: Solve for x
    x = 65,536.09/284.76
  6. Step 6: Final answer
    x = 230.14

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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.