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Finding the Fourth Proportional to 309.23, 463.87 and 103.80

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Solution

The fourth proportional to 309.23, 463.87 and 103.80 is: 155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.23 : 463.87 = 103.80 : x
  2. Step 2: Convert to fraction form
    309.23/463.87 = 103.80/x
  3. Step 3: Cross multiply
    309.23x = 463.87 × 103.80
  4. Step 4: Simplify right side
    309.23x = 48,147.71
  5. Step 5: Solve for x
    x = 48,147.71/309.23
  6. Step 6: Final answer
    x = 155.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.