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Finding the Fourth Proportional to 309.23, 463.71 and 116.72

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Solution

The fourth proportional to 309.23, 463.71 and 116.72 is: 175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.23 : 463.71 = 116.72 : x
  2. Step 2: Convert to fraction form
    309.23/463.71 = 116.72/x
  3. Step 3: Cross multiply
    309.23x = 463.71 × 116.72
  4. Step 4: Simplify right side
    309.23x = 54,123.43
  5. Step 5: Solve for x
    x = 54,123.43/309.23
  6. Step 6: Final answer
    x = 175.03

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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.