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Finding the Fourth Proportional to 313.14, 469.74 and 120.78

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Solution

The fourth proportional to 313.14, 469.74 and 120.78 is: 181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.14 : 469.74 = 120.78 : x
  2. Step 2: Convert to fraction form
    313.14/469.74 = 120.78/x
  3. Step 3: Cross multiply
    313.14x = 469.74 × 120.78
  4. Step 4: Simplify right side
    313.14x = 56,735.20
  5. Step 5: Solve for x
    x = 56,735.20/313.14
  6. Step 6: Final answer
    x = 181.18

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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.