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Finding the Fourth Proportional to 313.60, 469.96 and 130.88

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Solution

The fourth proportional to 313.60, 469.96 and 130.88 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.60 : 469.96 = 130.88 : x
  2. Step 2: Convert to fraction form
    313.60/469.96 = 130.88/x
  3. Step 3: Cross multiply
    313.60x = 469.96 × 130.88
  4. Step 4: Simplify right side
    313.60x = 61,508.36
  5. Step 5: Solve for x
    x = 61,508.36/313.60
  6. Step 6: Final answer
    x = 196.14

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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.