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Finding the Fourth Proportional to 306.76, 459.14 and 197.14

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Solution

The fourth proportional to 306.76, 459.14 and 197.14 is: 295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.76 : 459.14 = 197.14 : x
  2. Step 2: Convert to fraction form
    306.76/459.14 = 197.14/x
  3. Step 3: Cross multiply
    306.76x = 459.14 × 197.14
  4. Step 4: Simplify right side
    306.76x = 90,514.86
  5. Step 5: Solve for x
    x = 90,514.86/306.76
  6. Step 6: Final answer
    x = 295.07

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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.