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Finding the Fourth Proportional to 313.25, 469.71 and 130.77

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Solution

The fourth proportional to 313.25, 469.71 and 130.77 is: 196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.25 : 469.71 = 130.77 : x
  2. Step 2: Convert to fraction form
    313.25/469.71 = 130.77/x
  3. Step 3: Cross multiply
    313.25x = 469.71 × 130.77
  4. Step 4: Simplify right side
    313.25x = 61,423.98
  5. Step 5: Solve for x
    x = 61,423.98/313.25
  6. Step 6: Final answer
    x = 196.09

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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.