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Finding the Fourth Proportional to 284.95, 393.07 and 166.89

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Solution

The fourth proportional to 284.95, 393.07 and 166.89 is: 230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.95 : 393.07 = 166.89 : x
  2. Step 2: Convert to fraction form
    284.95/393.07 = 166.89/x
  3. Step 3: Cross multiply
    284.95x = 393.07 × 166.89
  4. Step 4: Simplify right side
    284.95x = 65,598.62
  5. Step 5: Solve for x
    x = 65,598.62/284.95
  6. Step 6: Final answer
    x = 230.22

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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.