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Finding the Fourth Proportional to 460.64, 690.74 and 167.93

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Solution

The fourth proportional to 460.64, 690.74 and 167.93 is: 251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.64 : 690.74 = 167.93 : x
  2. Step 2: Convert to fraction form
    460.64/690.74 = 167.93/x
  3. Step 3: Cross multiply
    460.64x = 690.74 × 167.93
  4. Step 4: Simplify right side
    460.64x = 115,996.86
  5. Step 5: Solve for x
    x = 115,996.86/460.64
  6. Step 6: Final answer
    x = 251.82

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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.