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Finding the Fourth Proportional to 284.74, 392.95 and 166.79

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Solution

The fourth proportional to 284.74, 392.95 and 166.79 is: 230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.74 : 392.95 = 166.79 : x
  2. Step 2: Convert to fraction form
    284.74/392.95 = 166.79/x
  3. Step 3: Cross multiply
    284.74x = 392.95 × 166.79
  4. Step 4: Simplify right side
    284.74x = 65,537.75
  5. Step 5: Solve for x
    x = 65,537.75/284.74
  6. Step 6: Final answer
    x = 230.17

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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.