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Finding the Fourth Proportional to 313.70, 469.74 and 205.16

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Solution

The fourth proportional to 313.70, 469.74 and 205.16 is: 307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.70 : 469.74 = 205.16 : x
  2. Step 2: Convert to fraction form
    313.70/469.74 = 205.16/x
  3. Step 3: Cross multiply
    313.70x = 469.74 × 205.16
  4. Step 4: Simplify right side
    313.70x = 96,371.86
  5. Step 5: Solve for x
    x = 96,371.86/313.70
  6. Step 6: Final answer
    x = 307.21

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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.