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Finding the Fourth Proportional to 213.65, 320.15 and 116.06

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Solution

The fourth proportional to 213.65, 320.15 and 116.06 is: 173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.65 : 320.15 = 116.06 : x
  2. Step 2: Convert to fraction form
    213.65/320.15 = 116.06/x
  3. Step 3: Cross multiply
    213.65x = 320.15 × 116.06
  4. Step 4: Simplify right side
    213.65x = 37,156.61
  5. Step 5: Solve for x
    x = 37,156.61/213.65
  6. Step 6: Final answer
    x = 173.92

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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.