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Finding the Fourth Proportional to 212.95, 319.35 and 110.20

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Solution

The fourth proportional to 212.95, 319.35 and 110.20 is: 165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.95 : 319.35 = 110.20 : x
  2. Step 2: Convert to fraction form
    212.95/319.35 = 110.20/x
  3. Step 3: Cross multiply
    212.95x = 319.35 × 110.20
  4. Step 4: Simplify right side
    212.95x = 35,192.37
  5. Step 5: Solve for x
    x = 35,192.37/212.95
  6. Step 6: Final answer
    x = 165.26

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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.