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Finding the Fourth Proportional to 319.34, 440.58 and 195.08

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Solution

The fourth proportional to 319.34, 440.58 and 195.08 is: 269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.34 : 440.58 = 195.08 : x
  2. Step 2: Convert to fraction form
    319.34/440.58 = 195.08/x
  3. Step 3: Cross multiply
    319.34x = 440.58 × 195.08
  4. Step 4: Simplify right side
    319.34x = 85,948.35
  5. Step 5: Solve for x
    x = 85,948.35/319.34
  6. Step 6: Final answer
    x = 269.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.