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Finding the Fourth Proportional to 209.10, 312.12 and 178.32

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Solution

The fourth proportional to 209.10, 312.12 and 178.32 is: 266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.10 : 312.12 = 178.32 : x
  2. Step 2: Convert to fraction form
    209.10/312.12 = 178.32/x
  3. Step 3: Cross multiply
    209.10x = 312.12 × 178.32
  4. Step 4: Simplify right side
    209.10x = 55,657.24
  5. Step 5: Solve for x
    x = 55,657.24/209.10
  6. Step 6: Final answer
    x = 266.18

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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.