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Finding the Fourth Proportional to 284.60, 392.69 and 168.17

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Solution

The fourth proportional to 284.60, 392.69 and 168.17 is: 232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.60 : 392.69 = 168.17 : x
  2. Step 2: Convert to fraction form
    284.60/392.69 = 168.17/x
  3. Step 3: Cross multiply
    284.60x = 392.69 × 168.17
  4. Step 4: Simplify right side
    284.60x = 66,035.87
  5. Step 5: Solve for x
    x = 66,035.87/284.60
  6. Step 6: Final answer
    x = 232.03

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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.