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Finding the Fourth Proportional to 306.85, 423.32 and 175.78

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Solution

The fourth proportional to 306.85, 423.32 and 175.78 is: 242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.85 : 423.32 = 175.78 : x
  2. Step 2: Convert to fraction form
    306.85/423.32 = 175.78/x
  3. Step 3: Cross multiply
    306.85x = 423.32 × 175.78
  4. Step 4: Simplify right side
    306.85x = 74,411.19
  5. Step 5: Solve for x
    x = 74,411.19/306.85
  6. Step 6: Final answer
    x = 242.50

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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.