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Finding the Fourth Proportional to 460.48, 690.64 and 168

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Solution

The fourth proportional to 460.48, 690.64 and 168 is: 251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.48 : 690.64 = 168 : x
  2. Step 2: Convert to fraction form
    460.48/690.64 = 168/x
  3. Step 3: Cross multiply
    460.48x = 690.64 × 168
  4. Step 4: Simplify right side
    460.48x = 116,027.52
  5. Step 5: Solve for x
    x = 116,027.52/460.48
  6. Step 6: Final answer
    x = 251.97

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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.