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Finding the Fourth Proportional to 212.32, 317.97 and 175.53

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Solution

The fourth proportional to 212.32, 317.97 and 175.53 is: 262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.32 : 317.97 = 175.53 : x
  2. Step 2: Convert to fraction form
    212.32/317.97 = 175.53/x
  3. Step 3: Cross multiply
    212.32x = 317.97 × 175.53
  4. Step 4: Simplify right side
    212.32x = 55,813.00
  5. Step 5: Solve for x
    x = 55,813.00/212.32
  6. Step 6: Final answer
    x = 262.87

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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.