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Finding the Fourth Proportional to 313.42, 469.73 and 130.57

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Solution

The fourth proportional to 313.42, 469.73 and 130.57 is: 195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.42 : 469.73 = 130.57 : x
  2. Step 2: Convert to fraction form
    313.42/469.73 = 130.57/x
  3. Step 3: Cross multiply
    313.42x = 469.73 × 130.57
  4. Step 4: Simplify right side
    313.42x = 61,329.64
  5. Step 5: Solve for x
    x = 61,329.64/313.42
  6. Step 6: Final answer
    x = 195.68

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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.