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Finding the Fourth Proportional to 284.79, 392.96 and 166.74

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Solution

The fourth proportional to 284.79, 392.96 and 166.74 is: 230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.79 : 392.96 = 166.74 : x
  2. Step 2: Convert to fraction form
    284.79/392.96 = 166.74/x
  3. Step 3: Cross multiply
    284.79x = 392.96 × 166.74
  4. Step 4: Simplify right side
    284.79x = 65,522.15
  5. Step 5: Solve for x
    x = 65,522.15/284.79
  6. Step 6: Final answer
    x = 230.08

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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.