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Finding the Fourth Proportional to 284.93, 393.10 and 166.86

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Solution

The fourth proportional to 284.93, 393.10 and 166.86 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.93 : 393.10 = 166.86 : x
  2. Step 2: Convert to fraction form
    284.93/393.10 = 166.86/x
  3. Step 3: Cross multiply
    284.93x = 393.10 × 166.86
  4. Step 4: Simplify right side
    284.93x = 65,592.67
  5. Step 5: Solve for x
    x = 65,592.67/284.93
  6. Step 6: Final answer
    x = 230.21

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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.