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Finding the Fourth Proportional to 460.02, 689.74 and 196.16

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Solution

The fourth proportional to 460.02, 689.74 and 196.16 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.02 : 689.74 = 196.16 : x
  2. Step 2: Convert to fraction form
    460.02/689.74 = 196.16/x
  3. Step 3: Cross multiply
    460.02x = 689.74 × 196.16
  4. Step 4: Simplify right side
    460.02x = 135,299.40
  5. Step 5: Solve for x
    x = 135,299.40/460.02
  6. Step 6: Final answer
    x = 294.12

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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.