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Finding the Fourth Proportional to 306.19, 459.31 and 100.74

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Solution

The fourth proportional to 306.19, 459.31 and 100.74 is: 151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.19 : 459.31 = 100.74 : x
  2. Step 2: Convert to fraction form
    306.19/459.31 = 100.74/x
  3. Step 3: Cross multiply
    306.19x = 459.31 × 100.74
  4. Step 4: Simplify right side
    306.19x = 46,270.64
  5. Step 5: Solve for x
    x = 46,270.64/306.19
  6. Step 6: Final answer
    x = 151.12

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Why These Related Problems?

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