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Finding the Fourth Proportional to 306.74, 459.53 and 142.35

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Solution

The fourth proportional to 306.74, 459.53 and 142.35 is: 213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 459.53 = 142.35 : x
  2. Step 2: Convert to fraction form
    306.74/459.53 = 142.35/x
  3. Step 3: Cross multiply
    306.74x = 459.53 × 142.35
  4. Step 4: Simplify right side
    306.74x = 65,412.73
  5. Step 5: Solve for x
    x = 65,412.73/306.74
  6. Step 6: Final answer
    x = 213.25

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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.