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Finding the Fourth Proportional to 313.29, 469.62 and 197.64

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Solution

The fourth proportional to 313.29, 469.62 and 197.64 is: 296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 469.62 = 197.64 : x
  2. Step 2: Convert to fraction form
    313.29/469.62 = 197.64/x
  3. Step 3: Cross multiply
    313.29x = 469.62 × 197.64
  4. Step 4: Simplify right side
    313.29x = 92,815.70
  5. Step 5: Solve for x
    x = 92,815.70/313.29
  6. Step 6: Final answer
    x = 296.26

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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.