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Finding the Fourth Proportional to 306.78, 423.42 and 175.86

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Solution

The fourth proportional to 306.78, 423.42 and 175.86 is: 242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 423.42 = 175.86 : x
  2. Step 2: Convert to fraction form
    306.78/423.42 = 175.86/x
  3. Step 3: Cross multiply
    306.78x = 423.42 × 175.86
  4. Step 4: Simplify right side
    306.78x = 74,462.64
  5. Step 5: Solve for x
    x = 74,462.64/306.78
  6. Step 6: Final answer
    x = 242.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.