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Finding the Fourth Proportional to 456.69, 684.78 and 164.15

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Solution

The fourth proportional to 456.69, 684.78 and 164.15 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.69 : 684.78 = 164.15 : x
  2. Step 2: Convert to fraction form
    456.69/684.78 = 164.15/x
  3. Step 3: Cross multiply
    456.69x = 684.78 × 164.15
  4. Step 4: Simplify right side
    456.69x = 112,406.64
  5. Step 5: Solve for x
    x = 112,406.64/456.69
  6. Step 6: Final answer
    x = 246.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.