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Finding the Fourth Proportional to 460.66, 690.84 and 168.12

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Solution

The fourth proportional to 460.66, 690.84 and 168.12 is: 252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.66 : 690.84 = 168.12 : x
  2. Step 2: Convert to fraction form
    460.66/690.84 = 168.12/x
  3. Step 3: Cross multiply
    460.66x = 690.84 × 168.12
  4. Step 4: Simplify right side
    460.66x = 116,144.02
  5. Step 5: Solve for x
    x = 116,144.02/460.66
  6. Step 6: Final answer
    x = 252.13

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