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Finding the Fourth Proportional to 306.37, 459.57 and 100.94

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Solution

The fourth proportional to 306.37, 459.57 and 100.94 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.37 : 459.57 = 100.94 : x
  2. Step 2: Convert to fraction form
    306.37/459.57 = 100.94/x
  3. Step 3: Cross multiply
    306.37x = 459.57 × 100.94
  4. Step 4: Simplify right side
    306.37x = 46,386.19
  5. Step 5: Solve for x
    x = 46,386.19/306.37
  6. Step 6: Final answer
    x = 151.41

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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.