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Finding the Fourth Proportional to 212.58, 319.18 and 173.65

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Solution

The fourth proportional to 212.58, 319.18 and 173.65 is: 260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.58 : 319.18 = 173.65 : x
  2. Step 2: Convert to fraction form
    212.58/319.18 = 173.65/x
  3. Step 3: Cross multiply
    212.58x = 319.18 × 173.65
  4. Step 4: Simplify right side
    212.58x = 55,425.61
  5. Step 5: Solve for x
    x = 55,425.61/212.58
  6. Step 6: Final answer
    x = 260.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.