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Finding the Fourth Proportional to 313.10, 469.65 and 205.57

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Solution

The fourth proportional to 313.10, 469.65 and 205.57 is: 308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.10 : 469.65 = 205.57 : x
  2. Step 2: Convert to fraction form
    313.10/469.65 = 205.57/x
  3. Step 3: Cross multiply
    313.10x = 469.65 × 205.57
  4. Step 4: Simplify right side
    313.10x = 96,545.95
  5. Step 5: Solve for x
    x = 96,545.95/313.10
  6. Step 6: Final answer
    x = 308.36

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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.