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Finding the Fourth Proportional to 306.99, 460.62 and 101.59

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Solution

The fourth proportional to 306.99, 460.62 and 101.59 is: 152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.99 : 460.62 = 101.59 : x
  2. Step 2: Convert to fraction form
    306.99/460.62 = 101.59/x
  3. Step 3: Cross multiply
    306.99x = 460.62 × 101.59
  4. Step 4: Simplify right side
    306.99x = 46,793.23
  5. Step 5: Solve for x
    x = 46,793.23/306.99
  6. Step 6: Final answer
    x = 152.43

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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.