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Finding the Fourth Proportional to 309.71, 464.34 and 155.63

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Solution

The fourth proportional to 309.71, 464.34 and 155.63 is: 233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.71 : 464.34 = 155.63 : x
  2. Step 2: Convert to fraction form
    309.71/464.34 = 155.63/x
  3. Step 3: Cross multiply
    309.71x = 464.34 × 155.63
  4. Step 4: Simplify right side
    309.71x = 72,265.23
  5. Step 5: Solve for x
    x = 72,265.23/309.71
  6. Step 6: Final answer
    x = 233.33

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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.