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Finding the Fourth Proportional to 283.13, 390.65 and 166.64

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Solution

The fourth proportional to 283.13, 390.65 and 166.64 is: 229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.13 : 390.65 = 166.64 : x
  2. Step 2: Convert to fraction form
    283.13/390.65 = 166.64/x
  3. Step 3: Cross multiply
    283.13x = 390.65 × 166.64
  4. Step 4: Simplify right side
    283.13x = 65,097.08
  5. Step 5: Solve for x
    x = 65,097.08/283.13
  6. Step 6: Final answer
    x = 229.92

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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.