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Finding the Fourth Proportional to 210.06, 312.53 and 209.39

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Solution

The fourth proportional to 210.06, 312.53 and 209.39 is: 311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.06 : 312.53 = 209.39 : x
  2. Step 2: Convert to fraction form
    210.06/312.53 = 209.39/x
  3. Step 3: Cross multiply
    210.06x = 312.53 × 209.39
  4. Step 4: Simplify right side
    210.06x = 65,438.05
  5. Step 5: Solve for x
    x = 65,438.05/210.06
  6. Step 6: Final answer
    x = 311.52

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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.