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Finding the Fourth Proportional to 306.76, 459.93 and 160.42

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Solution

The fourth proportional to 306.76, 459.93 and 160.42 is: 240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.76 : 459.93 = 160.42 : x
  2. Step 2: Convert to fraction form
    306.76/459.93 = 160.42/x
  3. Step 3: Cross multiply
    306.76x = 459.93 × 160.42
  4. Step 4: Simplify right side
    306.76x = 73,781.97
  5. Step 5: Solve for x
    x = 73,781.97/306.76
  6. Step 6: Final answer
    x = 240.52

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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.