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Finding the Fourth Proportional to 212.34, 317.08 and 173.90

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Solution

The fourth proportional to 212.34, 317.08 and 173.90 is: 259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.34 : 317.08 = 173.90 : x
  2. Step 2: Convert to fraction form
    212.34/317.08 = 173.90/x
  3. Step 3: Cross multiply
    212.34x = 317.08 × 173.90
  4. Step 4: Simplify right side
    212.34x = 55,140.21
  5. Step 5: Solve for x
    x = 55,140.21/212.34
  6. Step 6: Final answer
    x = 259.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.